%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT399-2 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 17:23:10 EDT 2024

% Result   : Unsatisfiable 2.42s 2.64s
% Output   : Proof 3.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : LAT399-2 : TPTP v8.2.0. Released v8.1.0.
% 0.14/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 27 14:18:39 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.20/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.42/2.64  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.NhWIrsOa5h/cvc5---1.0.5_2567.smt2
% 2.42/2.64  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.NhWIrsOa5h/cvc5---1.0.5_2567.smt2
% 3.15/3.34  (assume a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.15/3.34  (assume a1 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.15/3.34  (assume a2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.15/3.34  (assume a3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.15/3.34  (assume a4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))
% 3.15/3.34  (assume a5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))
% 3.15/3.34  (assume a6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.15/3.34  (assume a7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))))
% 3.15/3.34  (assume a8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upjo X Y Z) (tptp.meet (tptp.join X Y) (tptp.join X Z)))))
% 3.15/3.34  (assume a9 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lojo X Y X1) (tptp.join X (tptp.meet Y X1)))))
% 3.15/3.34  (assume a10 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 3.15/3.34  (assume a11 (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))
% 3.15/3.34  (step t1 (cl (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (not (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (not (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet 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tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a 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tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_neg)
% 3.15/3.34  (step t2 (cl (=> (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg1)
% 3.15/3.34  (anchor :step t3)
% 3.15/3.34  (assume t3.a0 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.a1 (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34  (assume t3.a2 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34  (assume t3.a3 (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))
% 3.15/3.34  (assume t3.a4 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34  (assume t3.a5 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34  (assume t3.a6 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 3.15/3.34  (assume t3.a7 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a8 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))))
% 3.15/3.34  (assume t3.a9 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))
% 3.15/3.34  (assume t3.a10 (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))
% 3.15/3.34  (assume t3.a11 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.a12 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.15/3.34  (assume t3.a13 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.15/3.34  (assume t3.a14 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34  (assume t3.a15 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.a16 (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a17 (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))))
% 3.15/3.34  (assume t3.a18 (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.a19 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a20 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a21 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34  (assume t3.a22 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))
% 3.15/3.34  (assume t3.a23 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a24 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a25 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a26 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))
% 3.15/3.34  (assume t3.a27 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a28 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.a29 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a30 (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.a31 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 3.15/3.34  (assume t3.a32 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34  (assume t3.a33 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34  (assume t3.a34 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))
% 3.15/3.34  (assume t3.a35 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.a36 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34  (assume t3.a37 (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a38 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a39 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34  (assume t3.a40 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a41 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a42 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a43 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a44 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a45 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.a46 (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.a47 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))
% 3.15/3.34  (assume t3.a48 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a49 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 3.15/3.34  (assume t3.a50 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34  (assume t3.a51 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34  (assume t3.a52 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34  (assume t3.a53 (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34  (assume t3.a54 (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34  (assume t3.a55 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34  (assume t3.a56 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34  (assume t3.a57 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34  (assume t3.a58 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a59 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a60 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34  (assume t3.a61 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a62 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.a63 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34  (assume t3.a64 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))
% 3.15/3.34  (assume t3.a65 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a66 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a67 (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))))
% 3.15/3.34  (assume t3.a68 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34  (assume t3.a69 (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))
% 3.15/3.34  (assume t3.a70 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34  (assume t3.a71 (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34  (assume t3.a72 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34  (assume t3.a73 (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))
% 3.15/3.34  (assume t3.a74 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a75 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a76 (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))
% 3.15/3.34  (assume t3.a77 (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))))
% 3.15/3.34  (assume t3.a78 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a79 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34  (assume t3.a80 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a81 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34  (assume t3.a82 (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a83 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))
% 3.15/3.34  (assume t3.a84 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a85 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))))
% 3.15/3.34  (assume t3.a86 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.a87 (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a88 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))
% 3.15/3.34  (assume t3.a89 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34  (assume t3.a90 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34  (assume t3.a91 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))
% 3.15/3.34  (assume t3.a92 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34  (assume t3.a93 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34  (assume t3.a94 (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34  (assume t3.a95 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34  (assume t3.a96 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a97 (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))
% 3.15/3.34  (assume t3.a98 (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.a99 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 3.15/3.34  (assume t3.a100 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))))
% 3.15/3.34  (assume t3.a101 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))
% 3.15/3.34  (assume t3.a102 (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))
% 3.15/3.34  (assume t3.a103 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (step t3.t1 (cl (=> (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) :rule implies_neg1)
% 3.15/3.34  (anchor :step t3.t2)
% 3.15/3.34  (assume t3.t2.a0 (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34  (assume t3.t2.a1 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a2 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.15/3.34  (assume t3.t2.a3 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a4 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a5 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a6 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))
% 3.15/3.34  (assume t3.t2.a7 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a8 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a9 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34  (assume t3.t2.a10 (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a11 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a12 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34  (assume t3.t2.a13 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a14 (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a15 (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34  (assume t3.t2.a16 (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a17 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34  (assume t3.t2.a18 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a19 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a20 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a21 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))
% 3.15/3.34  (assume t3.t2.a22 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a23 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))
% 3.15/3.34  (assume t3.t2.a24 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))
% 3.15/3.34  (assume t3.t2.a25 (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))
% 3.15/3.34  (assume t3.t2.a26 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a27 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a28 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34  (assume t3.t2.a29 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34  (assume t3.t2.a30 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a31 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a32 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a33 (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a34 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a35 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34  (assume t3.t2.a36 (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a37 (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))
% 3.15/3.34  (assume t3.t2.a38 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34  (assume t3.t2.a39 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34  (assume t3.t2.a40 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a41 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a42 (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a43 (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34  (assume t3.t2.a44 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a45 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.15/3.34  (assume t3.t2.a46 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34  (assume t3.t2.a47 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a48 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))))
% 3.15/3.34  (assume t3.t2.a49 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34  (assume t3.t2.a50 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))
% 3.15/3.34  (assume t3.t2.a51 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34  (assume t3.t2.a52 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a53 (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))
% 3.15/3.34  (assume t3.t2.a54 (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a55 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a56 (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))
% 3.15/3.34  (assume t3.t2.a57 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a58 (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a59 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a60 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a61 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a62 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a63 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a64 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a65 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))
% 3.15/3.34  (assume t3.t2.a66 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))
% 3.15/3.34  (assume t3.t2.a67 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34  (assume t3.t2.a68 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34  (assume t3.t2.a69 (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))
% 3.15/3.34  (assume t3.t2.a70 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a71 (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))
% 3.15/3.34  (assume t3.t2.a72 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34  (assume t3.t2.a73 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34  (assume t3.t2.a74 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a75 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34  (assume t3.t2.a76 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34  (assume t3.t2.a77 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34  (assume t3.t2.a78 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a79 (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))))
% 3.15/3.34  (assume t3.t2.a80 (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a81 (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34  (assume t3.t2.a82 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34  (assume t3.t2.a83 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))
% 3.15/3.34  (assume t3.t2.a84 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a85 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))
% 3.15/3.34  (assume t3.t2.a86 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a87 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a88 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34  (assume t3.t2.a89 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 3.15/3.34  (assume t3.t2.a90 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 3.15/3.34  (assume t3.t2.a91 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a92 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a93 (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))))
% 3.15/3.34  (assume t3.t2.a94 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34  (assume t3.t2.a95 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a96 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a97 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34  (assume t3.t2.a98 (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))
% 3.15/3.34  (assume t3.t2.a99 (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a100 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a101 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))))
% 3.15/3.34  (assume t3.t2.a102 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34  (assume t3.t2.a103 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))
% 3.15/3.34  (step t3.t2.t1 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.a47))
% 3.15/3.34  (step t3.t2.t2 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t1))
% 3.15/3.34  (step t3.t2.t3 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a76))
% 3.15/3.34  (step t3.t2.t4 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.t3))
% 3.15/3.34  (step t3.t2.t5 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.a103))
% 3.15/3.34  (step t3.t2.t6 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule symm :premises (t3.t2.t5))
% 3.15/3.34  (step t3.t2.t7 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.a80))
% 3.15/3.34  (step t3.t2.t8 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t7))
% 3.15/3.34  (step t3.t2.t9 (cl (= (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) tptp.a)) :rule symm :premises (t3.t2.a79))
% 3.15/3.34  (step t3.t2.t10 (cl (= (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) :rule refl)
% 3.15/3.34  (step t3.t2.t11 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t9 t3.t2.t10))
% 3.15/3.34  (step t3.t2.t12 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a78))
% 3.15/3.34  (step t3.t2.t13 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t8 t3.t2.t11 t3.t2.t12 t3.t2.t1))
% 3.15/3.34  (step t3.t2.t14 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t2 t3.t2.t4))
% 3.15/3.34  (step t3.t2.t15 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t13 t3.t2.t14))
% 3.15/3.34  (step t3.t2.t16 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.t15))
% 3.15/3.34  (step t3.t2.t17 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) :rule refl)
% 3.15/3.34  (step t3.t2.t18 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.t15 t3.t2.t17))
% 3.15/3.34  (step t3.t2.t19 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))))) :rule symm :premises (t3.t2.a77))
% 3.15/3.34  (step t3.t2.t20 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) :rule refl)
% 3.15/3.34  (step t3.t2.t21 (cl (= (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1))) :rule symm :premises (t3.t2.a16))
% 3.15/3.34  (step t3.t2.t22 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t21))
% 3.15/3.34  (step t3.t2.t23 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule cong :premises (t3.t2.t17 t3.t2.t22))
% 3.15/3.34  (step t3.t2.t24 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) :rule symm :premises (t3.t2.a15))
% 3.15/3.34  (step t3.t2.t25 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) :rule trans :premises (t3.t2.t23 t3.t2.t24))
% 3.15/3.34  (step t3.t2.t26 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.t20 t3.t2.t25))
% 3.15/3.34  (step t3.t2.t27 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t18 t3.t2.t19 t3.t2.t26 t3.t2.t3 t3.t2.t1))
% 3.15/3.34  (step t3.t2.t28 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t27 t3.t2.t14))
% 3.15/3.34  (step t3.t2.t29 (cl (= tptp.z3 tptp.z3)) :rule refl)
% 3.15/3.34  (step t3.t2.t30 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule cong :premises (t3.t2.t28 t3.t2.t29))
% 3.15/3.34  (step t3.t2.t31 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule symm :premises (t3.t2.t30))
% 3.15/3.34  (step t3.t2.t32 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a81))
% 3.15/3.34  (step t3.t2.t33 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t31 t3.t2.t32))
% 3.15/3.34  (step t3.t2.t34 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (tptp.join (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t16 t3.t2.t33))
% 3.15/3.34  (step t3.t2.t35 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t13 t3.t2.t2))
% 3.15/3.34  (step t3.t2.t36 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t12 t3.t2.t1))
% 3.15/3.34  (step t3.t2.t37 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.t13))
% 3.15/3.34  (step t3.t2.t38 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule trans :premises (t3.t2.t36 t3.t2.t37))
% 3.15/3.34  (step t3.t2.t39 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule refl)
% 3.15/3.34  (step t3.t2.t40 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t38 t3.t2.t39))
% 3.15/3.34  (step t3.t2.t41 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.t40))
% 3.15/3.34  (step t3.t2.t42 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule symm :premises (t3.t2.t32))
% 3.15/3.34  (step t3.t2.t43 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.t14))
% 3.15/3.34  (step t3.t2.t44 (cl (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) :rule refl)
% 3.15/3.34  (step t3.t2.t45 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule cong :premises (t3.t2.t44 t3.t2.a56))
% 3.15/3.34  (step t3.t2.t46 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a71))
% 3.15/3.34  (step t3.t2.t47 (cl (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a58))
% 3.15/3.34  (step t3.t2.t48 (cl (= (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)) tptp.z2)) :rule symm :premises (t3.t2.a57))
% 3.15/3.34  (step t3.t2.t49 (cl (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join tptp.z3 tptp.z2))) :rule cong :premises (t3.t2.t29 t3.t2.t48))
% 3.15/3.34  (step t3.t2.t50 (cl (= (tptp.join tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.a56))
% 3.15/3.34  (step t3.t2.t51 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t45 t3.t2.t46 t3.t2.t47 t3.t2.t49 t3.t2.t50))
% 3.15/3.34  (step t3.t2.t52 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t51))
% 3.15/3.34  (step t3.t2.t53 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t17 t3.t2.t52))
% 3.15/3.34  (step t3.t2.t54 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a74))
% 3.15/3.34  (step t3.t2.t55 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a75))
% 3.15/3.34  (step t3.t2.t56 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.t55))
% 3.15/3.34  (step t3.t2.t57 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t54))
% 3.15/3.34  (step t3.t2.t58 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule refl)
% 3.15/3.34  (step t3.t2.t59 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule cong :premises (t3.t2.t57 t3.t2.t58))
% 3.15/3.34  (step t3.t2.t60 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule symm :premises (t3.t2.a73))
% 3.15/3.34  (step t3.t2.t61 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule symm :premises (t3.t2.a72))
% 3.15/3.34  (step t3.t2.t62 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.t61))
% 3.15/3.34  (step t3.t2.t63 (cl (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) tptp.z2)) :rule symm :premises (t3.t2.a70))
% 3.15/3.34  (step t3.t2.t64 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t63))
% 3.15/3.34  (step t3.t2.t65 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a69))
% 3.15/3.34  (step t3.t2.t66 (cl (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule symm :premises (t3.t2.t65))
% 3.15/3.34  (step t3.t2.t67 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a23))
% 3.15/3.34  (step t3.t2.t68 (cl (= (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a68))
% 3.15/3.34  (step t3.t2.t69 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule symm :premises (t3.t2.t68))
% 3.15/3.34  (step t3.t2.t70 (cl (= (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule symm :premises (t3.t2.a67))
% 3.15/3.34  (step t3.t2.t71 (cl (= (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule cong :premises (t3.t2.t70 t3.t2.t29))
% 3.15/3.34  (step t3.t2.t72 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a66))
% 3.15/3.34  (step t3.t2.t73 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t67 t3.t2.t69 t3.t2.t71 t3.t2.t72))
% 3.15/3.34  (step t3.t2.t74 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.a23 t3.t2.t73))
% 3.15/3.34  (step t3.t2.t75 (cl (= tptp.z2 tptp.z2)) :rule refl)
% 3.15/3.34  (step t3.t2.t76 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2))) :rule cong :premises (t3.t2.t74 t3.t2.t75))
% 3.15/3.34  (step t3.t2.t77 (cl (= tptp.z2 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2))) :rule trans :premises (t3.t2.t64 t3.t2.t66 t3.t2.t76))
% 3.15/3.34  (step t3.t2.t78 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule cong :premises (t3.t2.t77 t3.t2.a42))
% 3.15/3.34  (step t3.t2.t79 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2))) :rule refl)
% 3.15/3.34  (step t3.t2.t80 (cl (= (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) tptp.z3)) :rule symm :premises (t3.t2.a42))
% 3.15/3.34  (step t3.t2.t81 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule cong :premises (t3.t2.t79 t3.t2.t80))
% 3.15/3.34  (step t3.t2.t82 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a65))
% 3.15/3.34  (step t3.t2.t83 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t78 t3.t2.t81 t3.t2.t82))
% 3.15/3.34  (step t3.t2.t84 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t51 t3.t2.t83))
% 3.15/3.34  (step t3.t2.t85 (cl (= (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule cong :premises (t3.t2.t84 t3.t2.a64))
% 3.15/3.34  (step t3.t2.t86 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) :rule refl)
% 3.15/3.34  (step t3.t2.t87 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a64))
% 3.15/3.34  (step t3.t2.t88 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a63))
% 3.15/3.34  (step t3.t2.t89 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t88))
% 3.15/3.34  (step t3.t2.t90 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a62))
% 3.15/3.34  (step t3.t2.t91 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a61))
% 3.15/3.34  (step t3.t2.t92 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a60))
% 3.15/3.34  (step t3.t2.t93 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t92))
% 3.15/3.34  (step t3.t2.t94 (cl (= (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a55))
% 3.15/3.34  (step t3.t2.t95 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t94))
% 3.15/3.34  (step t3.t2.t96 (cl (= (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.a53 t3.t2.t20))
% 3.15/3.34  (step t3.t2.t97 (cl (= (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a54))
% 3.15/3.34  (step t3.t2.t98 (cl (= (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) tptp.z2)) :rule symm :premises (t3.t2.a33))
% 3.15/3.34  (step t3.t2.t99 (cl (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z3 tptp.z2))) :rule cong :premises (t3.t2.t29 t3.t2.t98))
% 3.15/3.34  (step t3.t2.t100 (cl (= (tptp.meet tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.a53))
% 3.15/3.34  (step t3.t2.t101 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t95 t3.t2.t96 t3.t2.t97 t3.t2.t99 t3.t2.t100))
% 3.15/3.34  (step t3.t2.t102 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a59))
% 3.15/3.34  (step t3.t2.t103 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t102))
% 3.15/3.34  (step t3.t2.t104 (cl (= (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.a56 t3.t2.t44))
% 3.15/3.34  (step t3.t2.t105 (cl (= (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t104 t3.t2.t47 t3.t2.t49 t3.t2.t50))
% 3.15/3.34  (step t3.t2.t106 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.t17 t3.t2.t105))
% 3.15/3.34  (step t3.t2.t107 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t103 t3.t2.t106 t3.t2.t1))
% 3.15/3.34  (step t3.t2.t108 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.t101 t3.t2.t107))
% 3.15/3.34  (step t3.t2.t109 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a52))
% 3.15/3.34  (step t3.t2.t110 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.t1 t3.t2.t44))
% 3.15/3.34  (step t3.t2.t111 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t110))
% 3.15/3.34  (step t3.t2.t112 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t87 t3.t2.t89 t3.t2.t90 t3.t2.t91 t3.t2.t93 t3.t2.t108 t3.t2.t109 t3.t2.t111))
% 3.15/3.34  (step t3.t2.t113 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t86 t3.t2.t112))
% 3.15/3.34  (step t3.t2.t114 (cl (= (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t85 t3.t2.t113 t3.t2.t90 t3.t2.t91 t3.t2.t93 t3.t2.t108 t3.t2.t109 t3.t2.t111))
% 3.15/3.34  (step t3.t2.t115 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t109 t3.t2.t111))
% 3.15/3.34  (step t3.t2.t116 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t115))
% 3.15/3.34  (step t3.t2.t117 (cl (= (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t114 t3.t2.t116))
% 3.15/3.34  (step t3.t2.t118 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.t117 t3.t2.t17))
% 3.15/3.34  (step t3.t2.t119 (cl (= (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.a52 t3.t2.t17))
% 3.15/3.34  (step t3.t2.t120 (cl (= (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.t119))
% 3.15/3.34  (step t3.t2.t121 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t2 t3.t2.t53 t3.t2.t54 t3.t2.t56 t3.t2.t59 t3.t2.t60 t3.t2.t62 t3.t2.t118 t3.t2.t120))
% 3.15/3.34  (step t3.t2.t122 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a49))
% 3.15/3.34  (step t3.t2.t123 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.t122))
% 3.15/3.34  (step t3.t2.t124 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule trans :premises (t3.t2.t111 t3.t2.t123))
% 3.15/3.34  (step t3.t2.t125 (cl (= (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule cong :premises (t3.t2.t111 t3.t2.t124))
% 3.15/3.34  (step t3.t2.t126 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t125))
% 3.15/3.34  (step t3.t2.t127 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule trans :premises (t3.t2.a48 t3.t2.t126))
% 3.15/3.34  (step t3.t2.t128 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule trans :premises (t3.t2.t115 t3.t2.t127))
% 3.15/3.34  (step t3.t2.t129 (cl (= (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.t128 t3.t2.t17))
% 3.15/3.34  (step t3.t2.t130 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t43 t3.t2.t121 t3.t2.t119 t3.t2.t129))
% 3.15/3.34  (step t3.t2.t131 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule cong :premises (t3.t2.t130 t3.t2.t29))
% 3.15/3.34  (step t3.t2.t132 (cl (= (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a51))
% 3.15/3.34  (step t3.t2.t133 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a50))
% 3.15/3.34  (step t3.t2.t134 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.t133))
% 3.15/3.34  (step t3.t2.t135 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a48))
% 3.15/3.34  (step t3.t2.t136 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a46))
% 3.15/3.34  (step t3.t2.t137 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.t136))
% 3.15/3.34  (step t3.t2.t138 (cl (= (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule symm :premises (t3.t2.a45))
% 3.15/3.34  (step t3.t2.t139 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule symm :premises (t3.t2.t138))
% 3.15/3.34  (step t3.t2.t140 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule refl)
% 3.15/3.34  (step t3.t2.t141 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t139 t3.t2.t140))
% 3.15/3.34  (step t3.t2.t142 (cl (= (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t3.t2.t125 t3.t2.t135 t3.t2.t110 t3.t2.t137 t3.t2.t141))
% 3.15/3.34  (step t3.t2.t143 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t39 t3.t2.t142))
% 3.15/3.34  (step t3.t2.t144 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule symm :premises (t3.t2.a44))
% 3.15/3.34  (step t3.t2.t145 (cl (= (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule symm :premises (t3.t2.a43))
% 3.15/3.34  (step t3.t2.t146 (cl (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.t145))
% 3.15/3.34  (step t3.t2.t147 (cl (= (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t80 t3.t2.t140))
% 3.15/3.34  (step t3.t2.t148 (cl (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t3.t2.t146 t3.t2.t147))
% 3.15/3.34  (step t3.t2.t149 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t17 t3.t2.t148))
% 3.15/3.34  (step t3.t2.t150 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a41))
% 3.15/3.34  (step t3.t2.t151 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule symm :premises (t3.t2.a9))
% 3.15/3.34  (step t3.t2.t152 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t40 t3.t2.t42 t3.t2.t30 t3.t2.t131 t3.t2.t132 t3.t2.t134 t3.t2.t143 t3.t2.t144 t3.t2.t149 t3.t2.t150 t3.t2.t151))
% 3.15/3.34  (step t3.t2.t153 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t41 t3.t2.t152))
% 3.15/3.34  (step t3.t2.t154 (cl (= (tptp.join (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t35 t3.t2.t153))
% 3.15/3.34  (step t3.t2.t155 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a102))
% 3.15/3.34  (step t3.t2.t156 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t155))
% 3.15/3.34  (step t3.t2.t157 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a18))
% 3.15/3.34  (step t3.t2.t158 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a17))
% 3.15/3.34  (step t3.t2.t159 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule symm :premises (t3.t2.t158))
% 3.15/3.34  (step t3.t2.t160 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule cong :premises (t3.t2.t25 t3.t2.t29))
% 3.15/3.34  (step t3.t2.t161 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t157 t3.t2.t159 t3.t2.t160))
% 3.15/3.34  (step t3.t2.t162 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t161))
% 3.15/3.34  (step t3.t2.t163 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a2))
% 3.15/3.34  (step t3.t2.t164 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule symm :premises (t3.t2.a39))
% 3.15/3.34  (step t3.t2.t165 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.t164))
% 3.15/3.34  (step t3.t2.t166 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t165 t3.t2.t39))
% 3.15/3.34  (step t3.t2.t167 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a38))
% 3.15/3.34  (step t3.t2.t168 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule refl)
% 3.15/3.34  (step t3.t2.t169 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule symm :premises (t3.t2.a5))
% 3.15/3.34  (step t3.t2.t170 (cl (= (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t169 t3.t2.t39))
% 3.15/3.34  (step t3.t2.t171 (cl (= (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule trans :premises (t3.t2.t170 t3.t2.a2))
% 3.15/3.34  (step t3.t2.t172 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule cong :premises (t3.t2.t168 t3.t2.t171))
% 3.15/3.34  (step t3.t2.t173 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule trans :premises (t3.t2.t163 t3.t2.t166 t3.t2.t167 t3.t2.t172))
% 3.15/3.34  (step t3.t2.t174 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule cong :premises (t3.t2.t162 t3.t2.t173))
% 3.15/3.34  (step t3.t2.t175 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule symm :premises (t3.t2.a37))
% 3.15/3.34  (step t3.t2.t176 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule trans :premises (t3.t2.a3 t3.t2.t174 t3.t2.t175))
% 3.15/3.34  (step t3.t2.t177 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.a101))
% 3.15/3.34  (step t3.t2.t178 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule symm :premises (t3.t2.t177))
% 3.15/3.34  (step t3.t2.t179 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule symm :premises (t3.t2.a83))
% 3.15/3.34  (step t3.t2.t180 (cl (= (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule symm :premises (t3.t2.a82))
% 3.15/3.34  (step t3.t2.t181 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.t180))
% 3.15/3.34  (step t3.t2.t182 (cl (= (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.t98 t3.t2.t17))
% 3.15/3.34  (step t3.t2.t183 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t3.t2.t179 t3.t2.t181 t3.t2.t182 t3.t2.t70))
% 3.15/3.34  (step t3.t2.t184 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule cong :premises (t3.t2.t3 t3.t2.t183))
% 3.15/3.34  (step t3.t2.t185 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule symm :premises (t3.t2.a100))
% 3.15/3.34  (step t3.t2.t186 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t185))
% 3.15/3.34  (step t3.t2.t187 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule cong :premises (t3.t2.t168 t3.t2.a2))
% 3.15/3.34  (step t3.t2.t188 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule trans :premises (t3.t2.a5 t3.t2.t187))
% 3.15/3.34  (step t3.t2.t189 (cl (= (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a99))
% 3.15/3.34  (step t3.t2.t190 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t189))
% 3.15/3.34  (step t3.t2.t191 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule refl)
% 3.15/3.34  (step t3.t2.t192 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.t13 t3.t2.t191 t3.t2.t44))
% 3.15/3.34  (step t3.t2.t193 (cl (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a97))
% 3.15/3.34  (step t3.t2.t194 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.a86))
% 3.15/3.34  (step t3.t2.t195 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t192 t3.t2.t193 t3.t2.t194))
% 3.15/3.34  (step t3.t2.t196 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t195))
% 3.15/3.34  (step t3.t2.t197 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t36 t3.t2.t196))
% 3.15/3.34  (step t3.t2.t198 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t36))
% 3.15/3.34  (step t3.t2.t199 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.t198 t3.t2.t44))
% 3.15/3.34  (step t3.t2.t200 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t199))
% 3.15/3.34  (step t3.t2.t201 (cl (= (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t197 t3.t2.t200))
% 3.15/3.34  (step t3.t2.t202 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule symm :premises (t3.t2.a90))
% 3.15/3.34  (step t3.t2.t203 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a89))
% 3.15/3.34  (step t3.t2.t204 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t203 t3.t2.t136))
% 3.15/3.34  (step t3.t2.t205 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t191 t3.t2.t204))
% 3.15/3.34  (step t3.t2.t206 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t202 t3.t2.t205 t3.t2.t194))
% 3.15/3.34  (step t3.t2.t207 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule symm :premises (t3.t2.t206))
% 3.15/3.34  (step t3.t2.t208 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule refl)
% 3.15/3.34  (step t3.t2.t209 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule symm :premises (t3.t2.a96))
% 3.15/3.34  (step t3.t2.t210 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t209))
% 3.15/3.34  (step t3.t2.t211 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a95))
% 3.15/3.34  (step t3.t2.t212 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t39 t3.t2.t48))
% 3.15/3.34  (step t3.t2.t213 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t211 t3.t2.t212 t3.t2.a29))
% 3.15/3.34  (step t3.t2.t214 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.a29 t3.t2.t213))
% 3.15/3.34  (step t3.t2.t215 (cl (= (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule symm :premises (t3.t2.a29))
% 3.15/3.34  (step t3.t2.t216 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t39 t3.t2.t63))
% 3.15/3.34  (step t3.t2.t217 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.t216))
% 3.15/3.34  (step t3.t2.t218 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule symm :premises (t3.t2.a91))
% 3.15/3.34  (step t3.t2.t219 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t218 t3.t2.t75))
% 3.15/3.34  (step t3.t2.t220 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t219 t3.t2.t67))
% 3.15/3.34  (step t3.t2.t221 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t140 t3.t2.t220))
% 3.15/3.34  (step t3.t2.t222 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule symm :premises (t3.t2.t221))
% 3.15/3.34  (step t3.t2.t223 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a93))
% 3.15/3.34  (step t3.t2.t224 (cl (= (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t3.t2.t215 t3.t2.t217 t3.t2.a92 t3.t2.t222 t3.t2.t223))
% 3.15/3.34  (step t3.t2.t225 (cl (= (tptp.meet (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t215 t3.t2.t224))
% 3.15/3.34  (step t3.t2.t226 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t218 t3.t2.t140))
% 3.15/3.34  (step t3.t2.t227 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t226 t3.t2.t151))
% 3.15/3.34  (step t3.t2.t228 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t227 t3.t2.t75))
% 3.15/3.34  (step t3.t2.t229 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2))) :rule symm :premises (t3.t2.t228))
% 3.15/3.34  (step t3.t2.t230 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule refl)
% 3.15/3.34  (step t3.t2.t231 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t229 t3.t2.t230))
% 3.15/3.34  (step t3.t2.t232 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule trans :premises (t3.t2.t210 t3.t2.t214 t3.t2.t225 t3.t2.t231))
% 3.15/3.34  (step t3.t2.t233 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule cong :premises (t3.t2.t208 t3.t2.t232))
% 3.15/3.34  (step t3.t2.t234 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule symm :premises (t3.t2.a94))
% 3.15/3.34  (step t3.t2.t235 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule symm :premises (t3.t2.t234))
% 3.15/3.34  (step t3.t2.t236 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t208 t3.t2.t228))
% 3.15/3.34  (step t3.t2.t237 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t236 t3.t2.t136 t3.t2.t111))
% 3.15/3.34  (step t3.t2.t238 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t237 t3.t2.t110))
% 3.15/3.34  (step t3.t2.t239 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule symm :premises (t3.t2.t223))
% 3.15/3.34  (step t3.t2.t240 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.a92))
% 3.15/3.34  (step t3.t2.t241 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t239 t3.t2.t221 t3.t2.t240 t3.t2.t216))
% 3.15/3.34  (step t3.t2.t242 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t238 t3.t2.t241))
% 3.15/3.34  (step t3.t2.t243 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule trans :premises (t3.t2.t111 t3.t2.t127))
% 3.15/3.34  (step t3.t2.t244 (cl (= (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t243 t3.t2.t140))
% 3.15/3.34  (step t3.t2.t245 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t3.t2.t137 t3.t2.t233 t3.t2.t235 t3.t2.t242 t3.t2.t244))
% 3.15/3.34  (step t3.t2.t246 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t207 t3.t2.t245))
% 3.15/3.34  (step t3.t2.t247 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule refl)
% 3.15/3.34  (step t3.t2.t248 (cl (= (tptp.meet (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t206 t3.t2.t247))
% 3.15/3.34  (step t3.t2.t249 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t13 t3.t2.t247))
% 3.15/3.34  (step t3.t2.t250 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule symm :premises (t3.t2.t249))
% 3.15/3.34  (step t3.t2.t251 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule trans :premises (t3.t2.a86 t3.t2.t246 t3.t2.t248 t3.t2.t250))
% 3.15/3.34  (step t3.t2.t252 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule symm :premises (t3.t2.a88))
% 3.15/3.34  (step t3.t2.t253 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.t252))
% 3.15/3.34  (step t3.t2.t254 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.a87))
% 3.15/3.34  (step t3.t2.t255 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t254))
% 3.15/3.34  (step t3.t2.t256 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule refl)
% 3.15/3.34  (step t3.t2.t257 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t194 t3.t2.t256))
% 3.15/3.34  (step t3.t2.t258 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t255 t3.t2.t257 t3.t2.t194))
% 3.15/3.34  (step t3.t2.t259 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t258 t3.t2.t140))
% 3.15/3.34  (step t3.t2.t260 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t3.t2.t249 t3.t2.t253 t3.t2.t259))
% 3.15/3.34  (step t3.t2.t261 (cl (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a85))
% 3.15/3.34  (step t3.t2.t262 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule symm :premises (t3.t2.t261))
% 3.15/3.34  (step t3.t2.t263 (cl (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t37 t3.t2.t39 t3.t2.t75))
% 3.15/3.34  (step t3.t2.t264 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t262 t3.t2.t263))
% 3.15/3.34  (step t3.t2.t265 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t195 t3.t2.t251 t3.t2.t260 t3.t2.t264))
% 3.15/3.34  (step t3.t2.t266 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a98))
% 3.15/3.34  (step t3.t2.t267 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule symm :premises (t3.t2.t266))
% 3.15/3.34  (step t3.t2.t268 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t36 t3.t2.t14))
% 3.15/3.34  (step t3.t2.t269 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule cong :premises (t3.t2.t268 t3.t2.t75))
% 3.15/3.34  (step t3.t2.t270 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t3.t2.t269 t3.t2.t179 t3.t2.t181 t3.t2.t182 t3.t2.t70))
% 3.15/3.34  (step t3.t2.t271 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t270 t3.t2.a67))
% 3.15/3.34  (step t3.t2.t272 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule cong :premises (t3.t2.t271 t3.t2.t29))
% 3.15/3.34  (step t3.t2.t273 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t199 t3.t2.t267 t3.t2.t272 t3.t2.t68 t3.t2.a23))
% 3.15/3.34  (step t3.t2.t274 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t265 t3.t2.t273))
% 3.15/3.34  (step t3.t2.t275 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a84))
% 3.15/3.34  (step t3.t2.t276 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t275))
% 3.15/3.34  (step t3.t2.t277 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t153 t3.t2.t75))
% 3.15/3.34  (step t3.t2.t278 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule symm :premises (t3.t2.t160))
% 3.15/3.34  (step t3.t2.t279 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t278 t3.t2.t158))
% 3.15/3.34  (step t3.t2.t280 (cl (= (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t75 t3.t2.t279))
% 3.15/3.34  (step t3.t2.t281 (cl (= (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule symm :premises (t3.t2.a40))
% 3.15/3.34  (step t3.t2.t282 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule trans :premises (t3.t2.a29 t3.t2.t280 t3.t2.t281))
% 3.15/3.34  (step t3.t2.t283 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule trans :premises (t3.t2.t277 t3.t2.t282))
% 3.15/3.34  (step t3.t2.t284 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule cong :premises (t3.t2.t15 t3.t2.t75))
% 3.15/3.34  (step t3.t2.t285 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t3.t2.t284 t3.t2.t179 t3.t2.t181 t3.t2.t182 t3.t2.t70))
% 3.15/3.34  (step t3.t2.t286 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t285 t3.t2.t39))
% 3.15/3.34  (step t3.t2.t287 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule trans :premises (t3.t2.t286 t3.t2.a2))
% 3.15/3.34  (step t3.t2.t288 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule cong :premises (t3.t2.t283 t3.t2.t287))
% 3.15/3.34  (step t3.t2.t289 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule refl)
% 3.15/3.34  (step t3.t2.t290 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t289 t3.t2.t163))
% 3.15/3.34  (step t3.t2.t291 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule symm :premises (t3.t2.a26))
% 3.15/3.34  (step t3.t2.t292 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a21))
% 3.15/3.34  (step t3.t2.t293 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule refl)
% 3.15/3.34  (step t3.t2.t294 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a24))
% 3.15/3.34  (step t3.t2.t295 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t293 t3.t2.t294))
% 3.15/3.34  (step t3.t2.t296 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule symm :premises (t3.t2.t295))
% 3.15/3.34  (step t3.t2.t297 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t292 t3.t2.t293))
% 3.15/3.34  (step t3.t2.t298 (cl (= (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.a34))
% 3.15/3.34  (step t3.t2.t299 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a30))
% 3.15/3.34  (step t3.t2.t300 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t299))
% 3.15/3.34  (step t3.t2.t301 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t17 t3.t2.t215))
% 3.15/3.34  (step t3.t2.t302 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule symm :premises (t3.t2.a28))
% 3.15/3.34  (step t3.t2.t303 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t300 t3.t2.t301 t3.t2.t302))
% 3.15/3.34  (step t3.t2.t304 (cl (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t98))
% 3.15/3.34  (step t3.t2.t305 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t39 t3.t2.t304))
% 3.15/3.34  (step t3.t2.t306 (cl (= (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a32))
% 3.15/3.34  (step t3.t2.t307 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t306))
% 3.15/3.34  (step t3.t2.t308 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.a23 t3.t2.t305 t3.t2.t307))
% 3.15/3.34  (step t3.t2.t309 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.a23 t3.t2.t308))
% 3.15/3.34  (step t3.t2.t310 (cl (= (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule symm :premises (t3.t2.a31))
% 3.15/3.34  (step t3.t2.t311 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t309 t3.t2.t310))
% 3.15/3.34  (step t3.t2.t312 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t303 t3.t2.t311))
% 3.15/3.34  (step t3.t2.t313 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a27))
% 3.15/3.34  (step t3.t2.t314 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t313))
% 3.15/3.34  (step t3.t2.t315 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule trans :premises (t3.t2.t297 t3.t2.t298 t3.t2.t312 t3.t2.t314 t3.t2.t291))
% 3.15/3.34  (step t3.t2.t316 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule trans :premises (t3.t2.t292 t3.t2.a22))
% 3.15/3.34  (step t3.t2.t317 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule trans :premises (t3.t2.t315 t3.t2.t316))
% 3.15/3.34  (step t3.t2.t318 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a35))
% 3.15/3.34  (step t3.t2.t319 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.t318))
% 3.15/3.34  (step t3.t2.t320 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule cong :premises (t3.t2.t317 t3.t2.t319))
% 3.15/3.34  (step t3.t2.t321 (cl (= (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t320))
% 3.15/3.34  (step t3.t2.t322 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.a36))
% 3.15/3.34  (step t3.t2.t323 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule refl)
% 3.15/3.34  (step t3.t2.t324 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule cong :premises (t3.t2.t323 t3.t2.t316))
% 3.15/3.34  (step t3.t2.t325 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule symm :premises (t3.t2.t324))
% 3.15/3.34  (step t3.t2.t326 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule trans :premises (t3.t2.a78 t3.t2.t190 t3.t2.t201 t3.t2.t274 t3.t2.t276 t3.t2.t288 t3.t2.t290 t3.t2.t291 t3.t2.t292 t3.t2.a22 t3.t2.t296 t3.t2.a25 t3.t2.t321 t3.t2.t322 t3.t2.t325))
% 3.15/3.34  (step t3.t2.t327 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule cong :premises (t3.t2.t188 t3.t2.t326))
% 3.15/3.34  (step t3.t2.t328 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule trans :premises (t3.t2.t4 t3.t2.t178 t3.t2.t184 t3.t2.t186 t3.t2.t327))
% 3.15/3.34  (step t3.t2.t329 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))))) :rule cong :premises (t3.t2.t176 t3.t2.t328))
% 3.15/3.34  (step t3.t2.t330 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule refl)
% 3.15/3.34  (step t3.t2.t331 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule refl)
% 3.15/3.34  (step t3.t2.t332 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t322))
% 3.15/3.34  (step t3.t2.t333 (cl (= (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule symm :premises (t3.t2.a25))
% 3.15/3.34  (step t3.t2.t334 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a22))
% 3.15/3.34  (step t3.t2.t335 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule symm :premises (t3.t2.t292))
% 3.15/3.34  (step t3.t2.t336 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule trans :premises (t3.t2.t324 t3.t2.t332 t3.t2.t320 t3.t2.t333 t3.t2.t295 t3.t2.t334 t3.t2.t335))
% 3.15/3.34  (step t3.t2.t337 (cl (= (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule cong :premises (t3.t2.t331 t3.t2.t336))
% 3.15/3.34  (step t3.t2.t338 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule cong :premises (t3.t2.t330 t3.t2.t337))
% 3.15/3.34  (step t3.t2.t339 (cl (= (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule symm :premises (t3.t2.a20))
% 3.15/3.34  (step t3.t2.t340 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule symm :premises (t3.t2.t339))
% 3.15/3.34  (step t3.t2.t341 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule symm :premises (t3.t2.a19))
% 3.15/3.34  (step t3.t2.t342 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule symm :premises (t3.t2.t341))
% 3.15/3.34  (step t3.t2.t343 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule cong :premises (t3.t2.t161 t3.t2.a6))
% 3.15/3.34  (step t3.t2.t344 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a14))
% 3.15/3.34  (step t3.t2.t345 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t343 t3.t2.t344))
% 3.15/3.34  (step t3.t2.t346 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule trans :premises (t3.t2.t163 t3.t2.a1))
% 3.15/3.34  (step t3.t2.t347 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule cong :premises (t3.t2.t345 t3.t2.t346))
% 3.15/3.34  (step t3.t2.t348 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule refl)
% 3.15/3.34  (step t3.t2.t349 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a1))
% 3.15/3.34  (step t3.t2.t350 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t348 t3.t2.t349))
% 3.15/3.34  (step t3.t2.t351 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule trans :premises (t3.t2.t347 t3.t2.t350))
% 3.15/3.34  (step t3.t2.t352 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule refl)
% 3.15/3.34  (step t3.t2.t353 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule cong :premises (t3.t2.t161 t3.t2.t352))
% 3.15/3.34  (step t3.t2.t354 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule symm :premises (t3.t2.a3))
% 3.15/3.34  (step t3.t2.t355 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t353 t3.t2.t354))
% 3.15/3.34  (step t3.t2.t356 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule cong :premises (t3.t2.t355 t3.t2.t168))
% 3.15/3.34  (step t3.t2.t357 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule trans :premises (t3.t2.t356 t3.t2.t163 t3.t2.a1))
% 3.15/3.34  (step t3.t2.t358 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule cong :premises (t3.t2.t351 t3.t2.t357))
% 3.15/3.34  (step t3.t2.t359 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule refl)
% 3.15/3.34  (step t3.t2.t360 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule refl)
% 3.15/3.34  (step t3.t2.t361 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.a6 t3.t2.t360))
% 3.15/3.34  (step t3.t2.t362 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule trans :premises (t3.t2.a5 t3.t2.t361))
% 3.15/3.34  (step t3.t2.t363 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t362 t3.t2.t39))
% 3.15/3.34  (step t3.t2.t364 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t349 t3.t2.t363))
% 3.15/3.34  (step t3.t2.t365 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t359 t3.t2.t364))
% 3.15/3.34  (step t3.t2.t366 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.a13))
% 3.15/3.34  (step t3.t2.t367 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a12))
% 3.15/3.34  (step t3.t2.t368 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a11))
% 3.15/3.34  (step t3.t2.t369 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t368))
% 3.15/3.34  (step t3.t2.t370 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a4))
% 3.15/3.34  (step t3.t2.t371 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t370))
% 3.15/3.34  (step t3.t2.t372 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule cong :premises (t3.t2.t39 t3.t2.a2))
% 3.15/3.34  (step t3.t2.t373 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t371 t3.t2.t372 t3.t2.t354))
% 3.15/3.34  (step t3.t2.t374 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a10))
% 3.15/3.34  (step t3.t2.t375 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t374))
% 3.15/3.34  (step t3.t2.t376 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule symm :premises (t3.t2.a6))
% 3.15/3.34  (step t3.t2.t377 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.t151))
% 3.15/3.34  (step t3.t2.t378 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t360 t3.t2.t377))
% 3.15/3.34  (step t3.t2.t379 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule symm :premises (t3.t2.a8))
% 3.15/3.34  (step t3.t2.t380 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule symm :premises (t3.t2.a7))
% 3.15/3.34  (step t3.t2.t381 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t168 t3.t2.t380))
% 3.15/3.34  (step t3.t2.t382 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t378 t3.t2.t379 t3.t2.t381))
% 3.15/3.34  (step t3.t2.t383 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t376 t3.t2.t382))
% 3.15/3.34  (step t3.t2.t384 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t3.t2.t375 t3.t2.t383 t3.t2.t169))
% 3.15/3.34  (step t3.t2.t385 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule cong :premises (t3.t2.t373 t3.t2.t384))
% 3.15/3.34  (step t3.t2.t386 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t342 t3.t2.t358 t3.t2.t365 t3.t2.t366 t3.t2.t367 t3.t2.t369 t3.t2.t385 t3.t2.t163))
% 3.15/3.34  (step t3.t2.t387 (cl (= (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule cong :premises (t3.t2.t386 t3.t2.t323))
% 3.15/3.34  (step t3.t2.t388 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.a0))
% 3.15/3.34  (step t3.t2.t389 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t2 t3.t2.t4 t3.t2.t6 t3.t2.t34 t3.t2.t154 t3.t2.t156 t3.t2.t329 t3.t2.t338 t3.t2.t340 t3.t2.t387 t3.t2.t349 t3.t2.t388))
% 3.15/3.34  (step t3.t2 (cl (not (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join 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(tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (not (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (not (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (not (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (not (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule subproof :discharge (t3.t2.a0 t3.t2.a1 t3.t2.a2 t3.t2.a3 t3.t2.a4 t3.t2.a5 t3.t2.a6 t3.t2.a7 t3.t2.a8 t3.t2.a9 t3.t2.a10 t3.t2.a11 t3.t2.a12 t3.t2.a13 t3.t2.a14 t3.t2.a15 t3.t2.a16 t3.t2.a17 t3.t2.a18 t3.t2.a19 t3.t2.a20 t3.t2.a21 t3.t2.a22 t3.t2.a23 t3.t2.a24 t3.t2.a25 t3.t2.a26 t3.t2.a27 t3.t2.a28 t3.t2.a29 t3.t2.a30 t3.t2.a31 t3.t2.a32 t3.t2.a33 t3.t2.a34 t3.t2.a35 t3.t2.a36 t3.t2.a37 t3.t2.a38 t3.t2.a39 t3.t2.a40 t3.t2.a41 t3.t2.a42 t3.t2.a43 t3.t2.a44 t3.t2.a45 t3.t2.a46 t3.t2.a47 t3.t2.a48 t3.t2.a49 t3.t2.a50 t3.t2.a51 t3.t2.a52 t3.t2.a53 t3.t2.a54 t3.t2.a55 t3.t2.a56 t3.t2.a57 t3.t2.a58 t3.t2.a59 t3.t2.a60 t3.t2.a61 t3.t2.a62 t3.t2.a63 t3.t2.a64 t3.t2.a65 t3.t2.a66 t3.t2.a67 t3.t2.a68 t3.t2.a69 t3.t2.a70 t3.t2.a71 t3.t2.a72 t3.t2.a73 t3.t2.a74 t3.t2.a75 t3.t2.a76 t3.t2.a77 t3.t2.a78 t3.t2.a79 t3.t2.a80 t3.t2.a81 t3.t2.a82 t3.t2.a83 t3.t2.a84 t3.t2.a85 t3.t2.a86 t3.t2.a87 t3.t2.a88 t3.t2.a89 t3.t2.a90 t3.t2.a91 t3.t2.a92 t3.t2.a93 t3.t2.a94 t3.t2.a95 t3.t2.a96 t3.t2.a97 t3.t2.a98 t3.t2.a99 t3.t2.a100 t3.t2.a101 t3.t2.a102 t3.t2.a103))
% 3.15/3.34  (step t3.t3 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet 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(tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule and_pos)
% 3.15/3.34  (step t3.t4 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule and_pos)
% 3.15/3.34  (step t3.t5 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule and_pos)
% 3.15/3.34  (step t3.t6 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule and_pos)
% 3.15/3.34  (step t3.t7 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34  (step t3.t8 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34  (step t3.t9 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) :rule and_pos)
% 3.15/3.34  (step t3.t10 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.15/3.34  (step t3.t11 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.15/3.34  (step t3.t12 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.15/3.34  (step t3.t13 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34  (step t3.t14 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34  (step t3.t15 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_pos)
% 3.15/3.34  (step t3.t16 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34  (step t3.t17 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule and_pos)
% 3.15/3.34  (step t3.t18 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.15/3.34  (step t3.t19 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.34  (step t3.t20 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.15/3.34  (step t3.t21 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34  (step t3.t22 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule and_pos)
% 3.15/3.34  (step t3.t23 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule and_pos)
% 3.15/3.34  (step t3.t24 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule and_pos)
% 3.15/3.34  (step t3.t25 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t26 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule and_pos)
% 3.15/3.35  (step t3.t27 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule and_pos)
% 3.15/3.35  (step t3.t28 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule and_pos)
% 3.15/3.35  (step t3.t29 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t30 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t31 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.15/3.35  (step t3.t32 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule and_pos)
% 3.15/3.35  (step t3.t33 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t34 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t35 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35  (step t3.t36 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35  (step t3.t37 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t38 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_pos)
% 3.15/3.35  (step t3.t39 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t40 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule and_pos)
% 3.15/3.35  (step t3.t41 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule and_pos)
% 3.15/3.35  (step t3.t42 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_pos)
% 3.15/3.35  (step t3.t43 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t44 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.15/3.35  (step t3.t45 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule and_pos)
% 3.15/3.35  (step t3.t46 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.15/3.35  (step t3.t47 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.15/3.35  (step t3.t48 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule and_pos)
% 3.15/3.35  (step t3.t49 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.15/3.35  (step t3.t50 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35  (step t3.t51 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule and_pos)
% 3.15/3.35  (step t3.t52 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.15/3.35  (step t3.t53 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.15/3.35  (step t3.t54 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.15/3.35  (step t3.t55 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35  (step t3.t56 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule and_pos)
% 3.15/3.35  (step t3.t57 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35  (step t3.t58 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35  (step t3.t59 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule and_pos)
% 3.15/3.35  (step t3.t60 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35  (step t3.t61 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35  (step t3.t62 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t63 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t64 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t65 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t66 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t67 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35  (step t3.t68 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule and_pos)
% 3.15/3.35  (step t3.t69 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule and_pos)
% 3.15/3.35  (step t3.t70 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.15/3.35  (step t3.t71 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.15/3.35  (step t3.t72 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule and_pos)
% 3.15/3.35  (step t3.t73 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t74 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule and_pos)
% 3.15/3.36  (step t3.t75 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.15/3.36  (step t3.t76 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.15/3.36  (step t3.t77 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t78 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.15/3.36  (step t3.t79 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.15/3.36  (step t3.t80 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.15/3.36  (step t3.t81 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t82 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule and_pos)
% 3.15/3.36  (step t3.t83 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t84 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.15/3.36  (step t3.t85 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.15/3.36  (step t3.t86 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule and_pos)
% 3.15/3.36  (step t3.t87 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t88 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule and_pos)
% 3.15/3.36  (step t3.t89 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t90 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t91 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.15/3.36  (step t3.t92 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule and_pos)
% 3.15/3.36  (step t3.t93 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule and_pos)
% 3.15/3.36  (step t3.t94 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) :rule and_pos)
% 3.15/3.36  (step t3.t95 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t96 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule and_pos)
% 3.15/3.36  (step t3.t97 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.15/3.36  (step t3.t98 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.36  (step t3.t99 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t100 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.36  (step t3.t101 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule and_pos)
% 3.15/3.36  (step t3.t102 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t103 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t104 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule and_pos)
% 3.15/3.36  (step t3.t105 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36  (step t3.t106 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule and_pos)
% 3.15/3.36  (step t3.t107 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme 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(tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet 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tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet 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tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet 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tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet 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tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 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tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a 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tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet 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tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet 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tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet 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tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a 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(tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join 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tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet 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tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet 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tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet 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tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))))) :rule resolution :premises (t3.t2 t3.t3 t3.t4 t3.t5 t3.t6 t3.t7 t3.t8 t3.t9 t3.t10 t3.t11 t3.t12 t3.t13 t3.t14 t3.t15 t3.t16 t3.t17 t3.t18 t3.t19 t3.t20 t3.t21 t3.t22 t3.t23 t3.t24 t3.t25 t3.t26 t3.t27 t3.t28 t3.t29 t3.t30 t3.t31 t3.t32 t3.t33 t3.t34 t3.t35 t3.t36 t3.t37 t3.t38 t3.t39 t3.t40 t3.t41 t3.t42 t3.t43 t3.t44 t3.t45 t3.t46 t3.t47 t3.t48 t3.t49 t3.t50 t3.t51 t3.t52 t3.t53 t3.t54 t3.t55 t3.t56 t3.t57 t3.t58 t3.t59 t3.t60 t3.t61 t3.t62 t3.t63 t3.t64 t3.t65 t3.t66 t3.t67 t3.t68 t3.t69 t3.t70 t3.t71 t3.t72 t3.t73 t3.t74 t3.t75 t3.t76 t3.t77 t3.t78 t3.t79 t3.t80 t3.t81 t3.t82 t3.t83 t3.t84 t3.t85 t3.t86 t3.t87 t3.t88 t3.t89 t3.t90 t3.t91 t3.t92 t3.t93 t3.t94 t3.t95 t3.t96 t3.t97 t3.t98 t3.t99 t3.t100 t3.t101 t3.t102 t3.t103 t3.t104 t3.t105 t3.t106))
% 3.17/3.38  (step t3.t108 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet 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tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet 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tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet 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tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet 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tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 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tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a 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tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet 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tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet 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tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet 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tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a 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(tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join 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tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet 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tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet 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tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet 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tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet 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tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a 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tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join 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tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join 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(tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule reordering :premises (t3.t107))
% 3.17/3.40  (step t3.t109 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule contraction :premises (t3.t108))
% 3.17/3.40  (step t3.t110 (cl (=> (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule resolution :premises (t3.t1 t3.t109))
% 3.17/3.40  (step t3.t111 (cl (=> (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule implies_neg2)
% 3.17/3.41  (step t3.t112 (cl (=> (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (=> (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet 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tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet 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tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule resolution :premises (t3.t110 t3.t111))
% 3.17/3.41  (step t3.t113 (cl (=> (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule contraction :premises (t3.t112))
% 3.17/3.41  (step t3.t114 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule implies :premises (t3.t113))
% 3.17/3.41  (step t3.t115 (cl (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet 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tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 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(tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (not (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (not (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (not (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) :rule and_neg)
% 3.17/3.41  (step t3.t116 (cl (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) :rule resolution :premises (t3.t115 t3.a1 t3.a49 t3.a13 t3.a55 t3.a65 t3.a20 t3.a9 t3.a51 t3.a79 t3.a21 t3.a87 t3.a78 t3.a63 t3.a66 t3.a67 t3.a54 t3.a16 t3.a32 t3.a40 t3.a89 t3.a99 t3.a22 t3.a41 t3.a26 t3.a83 t3.a97 t3.a27 t3.a24 t3.a60 t3.a14 t3.a58 t3.a84 t3.a35 t3.a18 t3.a96 t3.a56 t3.a98 t3.a102 t3.a81 t3.a50 t3.a42 t3.a39 t3.a53 t3.a71 t3.a93 t3.a12 t3.a2 t3.a0 t3.a85 t3.a52 t3.a91 t3.a95 t3.a11 t3.a3 t3.a30 t3.a28 t3.a10 t3.a15 t3.a46 t3.a59 t3.a43 t3.a23 t3.a29 t3.a25 t3.a44 t3.a47 t3.a34 t3.a4 t3.a33 t3.a73 t3.a48 t3.a76 t3.a90 t3.a72 t3.a61 t3.a57 t3.a5 t3.a68 t3.a7 t3.a17 t3.a37 t3.a94 t3.a36 t3.a64 t3.a103 t3.a88 t3.a19 t3.a38 t3.a70 t3.a6 t3.a31 t3.a8 t3.a80 t3.a77 t3.a92 t3.a45 t3.a86 t3.a62 t3.a69 t3.a82 t3.a74 t3.a100 t3.a75 t3.a101))
% 3.17/3.41  (step t3.t117 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule resolution :premises (t3.t114 t3.t116))
% 3.17/3.41  (step t3 (cl (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (not (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (not (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet 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tptp.a tptp.z1) tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule subproof :discharge (t3.a0 t3.a1 t3.a2 t3.a3 t3.a4 t3.a5 t3.a6 t3.a7 t3.a8 t3.a9 t3.a10 t3.a11 t3.a12 t3.a13 t3.a14 t3.a15 t3.a16 t3.a17 t3.a18 t3.a19 t3.a20 t3.a21 t3.a22 t3.a23 t3.a24 t3.a25 t3.a26 t3.a27 t3.a28 t3.a29 t3.a30 t3.a31 t3.a32 t3.a33 t3.a34 t3.a35 t3.a36 t3.a37 t3.a38 t3.a39 t3.a40 t3.a41 t3.a42 t3.a43 t3.a44 t3.a45 t3.a46 t3.a47 t3.a48 t3.a49 t3.a50 t3.a51 t3.a52 t3.a53 t3.a54 t3.a55 t3.a56 t3.a57 t3.a58 t3.a59 t3.a60 t3.a61 t3.a62 t3.a63 t3.a64 t3.a65 t3.a66 t3.a67 t3.a68 t3.a69 t3.a70 t3.a71 t3.a72 t3.a73 t3.a74 t3.a75 t3.a76 t3.a77 t3.a78 t3.a79 t3.a80 t3.a81 t3.a82 t3.a83 t3.a84 t3.a85 t3.a86 t3.a87 t3.a88 t3.a89 t3.a90 t3.a91 t3.a92 t3.a93 t3.a94 t3.a95 t3.a96 t3.a97 t3.a98 t3.a99 t3.a100 t3.a101 t3.a102 t3.a103))
% 3.17/3.41  (step t4 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t5 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t6 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.17/3.41  (step t7 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule and_pos)
% 3.17/3.41  (step t8 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.17/3.41  (step t9 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.17/3.41  (step t10 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t11 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t12 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t13 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) :rule and_pos)
% 3.17/3.41  (step t14 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule and_pos)
% 3.17/3.41  (step t15 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t16 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule and_pos)
% 3.17/3.41  (step t17 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule and_pos)
% 3.17/3.41  (step t18 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t19 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t20 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t21 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule and_pos)
% 3.17/3.41  (step t22 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t23 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t24 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t25 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.17/3.41  (step t26 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule and_pos)
% 3.17/3.41  (step t27 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t28 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t29 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t30 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule and_pos)
% 3.17/3.41  (step t31 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t32 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t33 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t34 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t35 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t36 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.17/3.41  (step t37 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.17/3.41  (step t38 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule and_pos)
% 3.17/3.41  (step t39 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.17/3.41  (step t40 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.17/3.41  (step t41 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t42 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.41  (step t43 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.17/3.41  (step t44 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t45 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t46 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t47 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t48 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t49 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.17/3.42  (step t50 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.17/3.42  (step t51 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule and_pos)
% 3.17/3.42  (step t52 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t53 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule and_pos)
% 3.17/3.42  (step t54 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_pos)
% 3.17/3.42  (step t55 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.17/3.42  (step t56 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.17/3.42  (step t57 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule and_pos)
% 3.17/3.42  (step t58 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.17/3.42  (step t59 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule and_pos)
% 3.17/3.42  (step t60 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_pos)
% 3.17/3.42  (step t61 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.17/3.42  (step t62 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t63 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t64 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.17/3.42  (step t65 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t66 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.17/3.42  (step t67 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_pos)
% 3.17/3.42  (step t68 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule and_pos)
% 3.17/3.42  (step t69 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t70 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t71 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule and_pos)
% 3.17/3.42  (step t72 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.17/3.42  (step t73 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule and_pos)
% 3.17/3.42  (step t74 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.17/3.42  (step t75 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.17/3.42  (step t76 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.17/3.42  (step t77 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule and_pos)
% 3.17/3.42  (step t78 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t79 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t80 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule and_pos)
% 3.17/3.42  (step t81 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule and_pos)
% 3.17/3.42  (step t82 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t83 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.17/3.42  (step t84 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t85 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule and_pos)
% 3.17/3.42  (step t86 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t87 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule and_pos)
% 3.17/3.42  (step t88 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t89 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule and_pos)
% 3.17/3.42  (step t90 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t91 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.42  (step t92 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule and_pos)
% 3.17/3.43  (step t93 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule and_pos)
% 3.17/3.43  (step t94 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.17/3.43  (step t95 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.17/3.43  (step t96 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.17/3.43  (step t97 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.17/3.43  (step t98 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.17/3.43  (step t99 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.17/3.43  (step t100 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.43  (step t101 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule and_pos)
% 3.17/3.43  (step t102 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.43  (step t103 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule and_pos)
% 3.17/3.43  (step t104 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule and_pos)
% 3.17/3.43  (step t105 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule and_pos)
% 3.17/3.43  (step t106 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule and_pos)
% 3.17/3.43  (step t107 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.17/3.43  (step t108 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet 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tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet 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(tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a 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(tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet 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(tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet 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tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet 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(tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule resolution :premises (t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29 t30 t31 t32 t33 t34 t35 t36 t37 t38 t39 t40 t41 t42 t43 t44 t45 t46 t47 t48 t49 t50 t51 t52 t53 t54 t55 t56 t57 t58 t59 t60 t61 t62 t63 t64 t65 t66 t67 t68 t69 t70 t71 t72 t73 t74 t75 t76 t77 t78 t79 t80 t81 t82 t83 t84 t85 t86 t87 t88 t89 t90 t91 t92 t93 t94 t95 t96 t97 t98 t99 t100 t101 t102 t103 t104 t105 t106 t107))
% 3.21/3.45  (step t109 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet 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(tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet 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tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet 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(tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet 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tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet 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(tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a 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(tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule reordering :premises (t108))
% 3.21/3.47  (step t110 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule contraction :premises (t109))
% 3.21/3.47  (step t111 (cl (=> (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule resolution :premises (t2 t110))
% 3.21/3.47  (step t112 (cl (=> (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule implies_neg2)
% 3.21/3.47  (step t113 (cl (=> (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (=> (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule resolution :premises (t111 t112))
% 3.21/3.47  (step t114 (cl (=> (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule contraction :premises (t113))
% 3.21/3.47  (step t115 (cl (not (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule implies :premises (t114))
% 3.21/3.47  (step t116 (cl (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (not (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (not (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) 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tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule resolution :premises (t1 t115))
% 3.21/3.47  (step t117 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (not (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (not (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a 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tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet 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tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a 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(tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet 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(tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule reordering :premises (t116))
% 3.21/3.47  (step t118 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t119)
% 3.21/3.47  (assume t119.a0 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 3.21/3.47  (step t119.t1 (cl (or (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X1 (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (:= Y1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= W tptp.z2)))
% 3.21/3.47  (step t119.t2 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t119.t1))
% 3.21/3.47  (step t119.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t119.t2 t119.a0))
% 3.21/3.47  (step t119 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t119.a0))
% 3.21/3.47  (step t120 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t118 t119))
% 3.21/3.47  (step t121 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.21/3.47  (step t122 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t120 t121))
% 3.21/3.47  (step t123 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t122))
% 3.21/3.47  (step t124 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t123))
% 3.21/3.47  (step t125 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t124 a10))
% 3.21/3.47  (step t126 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t127)
% 3.21/3.47  (assume t127.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.21/3.47  (step t127.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (:= Z (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.21/3.47  (step t127.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule or :premises (t127.t1))
% 3.21/3.47  (step t127.t3 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t127.t2 t127.a0))
% 3.21/3.47  (step t127 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule subproof :discharge (t127.a0))
% 3.21/3.47  (step t128 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t126 t127))
% 3.21/3.47  (step t129 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule implies_neg2)
% 3.21/3.47  (step t130 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule resolution :premises (t128 t129))
% 3.21/3.47  (step t131 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule contraction :premises (t130))
% 3.21/3.47  (step t132 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule implies :premises (t131))
% 3.21/3.47  (step t133 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t132 a6))
% 3.21/3.47  (step t134 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t135)
% 3.21/3.47  (assume t135.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.21/3.47  (step t135.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (:= Y tptp.z3)))
% 3.21/3.47  (step t135.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule or :premises (t135.t1))
% 3.21/3.47  (step t135.t3 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule resolution :premises (t135.t2 t135.a0))
% 3.21/3.47  (step t135 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule subproof :discharge (t135.a0))
% 3.21/3.47  (step t136 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule resolution :premises (t134 t135))
% 3.21/3.47  (step t137 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) :rule implies_neg2)
% 3.21/3.47  (step t138 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) :rule resolution :premises (t136 t137))
% 3.21/3.47  (step t139 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) :rule contraction :premises (t138))
% 3.21/3.47  (step t140 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule implies :premises (t139))
% 3.21/3.47  (step t141 (cl (not (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule equiv_pos2)
% 3.21/3.47  (anchor :step t142 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 3.21/3.47  (step t142.t1 (cl (= X X)) :rule refl)
% 3.21/3.47  (step t142.t2 (cl (= Y Y)) :rule refl)
% 3.21/3.47  (step t142.t3 (cl (= (= (tptp.join X (tptp.meet X Y)) X) (= X (tptp.join X (tptp.meet X Y))))) :rule all_simplify)
% 3.21/3.47  (step t142 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) :rule bind)
% 3.21/3.47  (step t143 (cl (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule resolution :premises (t141 t142 a4))
% 3.21/3.47  (step t144 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule resolution :premises (t140 t143))
% 3.21/3.47  (step t145 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t146)
% 3.21/3.47  (assume t146.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.21/3.47  (step t146.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (:= Y tptp.z2)))
% 3.21/3.47  (step t146.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule or :premises (t146.t1))
% 3.21/3.47  (step t146.t3 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule resolution :premises (t146.t2 t146.a0))
% 3.21/3.47  (step t146 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule subproof :discharge (t146.a0))
% 3.21/3.47  (step t147 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule resolution :premises (t145 t146))
% 3.21/3.47  (step t148 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))))) :rule implies_neg2)
% 3.21/3.47  (step t149 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))))) :rule resolution :premises (t147 t148))
% 3.21/3.47  (step t150 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))))) :rule contraction :premises (t149))
% 3.21/3.47  (step t151 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule implies :premises (t150))
% 3.21/3.47  (step t152 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule resolution :premises (t151 t143))
% 3.21/3.47  (step t153 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t154)
% 3.21/3.47  (assume t154.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.21/3.47  (step t154.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (:= Y (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (:= Z (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 3.21/3.47  (step t154.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule or :premises (t154.t1))
% 3.21/3.47  (step t154.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule resolution :premises (t154.t2 t154.a0))
% 3.21/3.47  (step t154 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule subproof :discharge (t154.a0))
% 3.21/3.47  (step t155 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule resolution :premises (t153 t154))
% 3.21/3.47  (step t156 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule implies_neg2)
% 3.21/3.47  (step t157 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule resolution :premises (t155 t156))
% 3.21/3.47  (step t158 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule contraction :premises (t157))
% 3.21/3.47  (step t159 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule implies :premises (t158))
% 3.21/3.47  (step t160 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule resolution :premises (t159 a3))
% 3.21/3.47  (step t161 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t162)
% 3.21/3.47  (assume t162.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.21/3.47  (step t162.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (:= Y (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Z (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.21/3.47  (step t162.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t162.t1))
% 3.21/3.47  (step t162.t3 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t162.t2 t162.a0))
% 3.21/3.47  (step t162 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t162.a0))
% 3.21/3.47  (step t163 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t161 t162))
% 3.21/3.47  (step t164 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.21/3.47  (step t165 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t163 t164))
% 3.21/3.47  (step t166 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t165))
% 3.21/3.47  (step t167 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t166))
% 3.21/3.47  (step t168 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t167 a3))
% 3.21/3.47  (step t169 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t170)
% 3.21/3.47  (assume t170.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.21/3.47  (step t170.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule forall_inst :args ((:= X (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Z (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))
% 3.21/3.47  (step t170.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule or :premises (t170.t1))
% 3.21/3.47  (step t170.t3 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule resolution :premises (t170.t2 t170.a0))
% 3.21/3.47  (step t170 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule subproof :discharge (t170.a0))
% 3.21/3.47  (step t171 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule resolution :premises (t169 t170))
% 3.21/3.47  (step t172 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (not (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule implies_neg2)
% 3.21/3.47  (step t173 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule resolution :premises (t171 t172))
% 3.21/3.47  (step t174 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule contraction :premises (t173))
% 3.21/3.47  (step t175 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule implies :premises (t174))
% 3.21/3.47  (step t176 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule resolution :premises (t175 a3))
% 3.21/3.47  (step t177 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t178)
% 3.21/3.47  (assume t178.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.21/3.47  (step t178.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Z (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.21/3.47  (step t178.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t178.t1))
% 3.21/3.47  (step t178.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t178.t2 t178.a0))
% 3.21/3.47  (step t178 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t178.a0))
% 3.21/3.47  (step t179 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t177 t178))
% 3.21/3.47  (step t180 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.21/3.47  (step t181 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t179 t180))
% 3.21/3.47  (step t182 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t181))
% 3.21/3.47  (step t183 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t182))
% 3.21/3.47  (step t184 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t183 a3))
% 3.21/3.47  (step t185 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t186)
% 3.21/3.47  (assume t186.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.21/3.47  (step t186.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule forall_inst :args ((:= X (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (:= Y (tptp.meet tptp.a tptp.z1)) (:= Z tptp.z3)))
% 3.21/3.47  (step t186.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule or :premises (t186.t1))
% 3.21/3.47  (step t186.t3 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t186.t2 t186.a0))
% 3.21/3.47  (step t186 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule subproof :discharge (t186.a0))
% 3.21/3.47  (step t187 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t185 t186))
% 3.21/3.47  (step t188 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule implies_neg2)
% 3.21/3.47  (step t189 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule resolution :premises (t187 t188))
% 3.21/3.47  (step t190 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule contraction :premises (t189))
% 3.21/3.47  (step t191 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule implies :premises (t190))
% 3.21/3.47  (step t192 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t191 a1))
% 3.21/3.47  (step t193 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t194)
% 3.21/3.47  (assume t194.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.21/3.47  (step t194.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule forall_inst :args ((:= X (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (:= Y (tptp.meet tptp.a tptp.z1)) (:= Z tptp.z3)))
% 3.21/3.47  (step t194.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule or :premises (t194.t1))
% 3.21/3.47  (step t194.t3 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t194.t2 t194.a0))
% 3.21/3.47  (step t194 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule subproof :discharge (t194.a0))
% 3.21/3.47  (step t195 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t193 t194))
% 3.21/3.47  (step t196 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule implies_neg2)
% 3.21/3.47  (step t197 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule resolution :premises (t195 t196))
% 3.21/3.47  (step t198 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule contraction :premises (t197))
% 3.21/3.47  (step t199 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule implies :premises (t198))
% 3.21/3.47  (step t200 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t199 a1))
% 3.21/3.47  (step t201 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t202)
% 3.21/3.47  (assume t202.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.21/3.47  (step t202.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z3) (:= Z (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.21/3.47  (step t202.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule or :premises (t202.t1))
% 3.21/3.47  (step t202.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t202.t2 t202.a0))
% 3.21/3.47  (step t202 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule subproof :discharge (t202.a0))
% 3.21/3.47  (step t203 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t201 t202))
% 3.21/3.47  (step t204 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule implies_neg2)
% 3.21/3.47  (step t205 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t203 t204))
% 3.21/3.47  (step t206 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule contraction :premises (t205))
% 3.21/3.47  (step t207 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies :premises (t206))
% 3.21/3.47  (step t208 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t207 a1))
% 3.21/3.47  (step t209 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t210)
% 3.21/3.47  (assume t210.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.21/3.47  (step t210.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (:= Z (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.21/3.47  (step t210.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule or :premises (t210.t1))
% 3.21/3.47  (step t210.t3 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t210.t2 t210.a0))
% 3.21/3.47  (step t210 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule subproof :discharge (t210.a0))
% 3.21/3.47  (step t211 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t209 t210))
% 3.21/3.47  (step t212 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule implies_neg2)
% 3.21/3.47  (step t213 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t211 t212))
% 3.21/3.47  (step t214 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule contraction :premises (t213))
% 3.21/3.47  (step t215 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies :premises (t214))
% 3.21/3.47  (step t216 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t215 a1))
% 3.21/3.47  (step t217 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))) :rule equiv_pos2)
% 3.21/3.47  (step t218 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) :rule refl)
% 3.21/3.47  (step t219 (cl (= (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))) :rule all_simplify)
% 3.21/3.47  (step t220 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))))) :rule cong :premises (t218 t219))
% 3.21/3.47  (step t221 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t222)
% 3.21/3.47  (assume t222.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.21/3.47  (step t222.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Y (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))
% 3.21/3.47  (step t222.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule or :premises (t222.t1))
% 3.21/3.47  (step t222.t3 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t222.t2 t222.a0))
% 3.21/3.47  (step t222 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule subproof :discharge (t222.a0))
% 3.21/3.47  (step t223 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t221 t222))
% 3.21/3.47  (step t224 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies_neg2)
% 3.21/3.47  (step t225 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t223 t224))
% 3.21/3.47  (step t226 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule contraction :premises (t225))
% 3.21/3.47  (step t227 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))) :rule resolution :premises (t217 t220 t226))
% 3.21/3.47  (step t228 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies :premises (t227))
% 3.21/3.47  (step t229 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t228 a0))
% 3.21/3.47  (step t230 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t231)
% 3.21/3.47  (assume t231.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.21/3.47  (step t231.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))))
% 3.21/3.47  (step t231.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t231.t1))
% 3.21/3.47  (step t231.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t231.t2 t231.a0))
% 3.21/3.47  (step t231 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t231.a0))
% 3.21/3.47  (step t232 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t230 t231))
% 3.21/3.47  (step t233 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 3.21/3.47  (step t234 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t232 t233))
% 3.21/3.47  (step t235 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t234))
% 3.21/3.47  (step t236 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t235))
% 3.21/3.47  (step t237 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t236 a0))
% 3.21/3.47  (step t238 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t239)
% 3.21/3.47  (assume t239.a0 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 3.21/3.47  (step t239.t1 (cl (or (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule forall_inst :args ((:= X1 (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (:= W (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.21/3.47  (step t239.t2 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule or :premises (t239.t1))
% 3.21/3.47  (step t239.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t239.t2 t239.a0))
% 3.21/3.47  (step t239 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule subproof :discharge (t239.a0))
% 3.21/3.47  (step t240 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t238 t239))
% 3.21/3.47  (step t241 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule implies_neg2)
% 3.21/3.47  (step t242 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t240 t241))
% 3.21/3.47  (step t243 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule contraction :premises (t242))
% 3.21/3.47  (step t244 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule implies :premises (t243))
% 3.21/3.47  (step t245 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t244 a10))
% 3.21/3.47  (step t246 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule equiv_pos2)
% 3.21/3.47  (step t247 (cl (= (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))) :rule refl)
% 3.21/3.47  (step t248 (cl (= (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule all_simplify)
% 3.21/3.47  (step t249 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t247 t248))
% 3.21/3.47  (step t250 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t251)
% 3.21/3.47  (assume t251.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.21/3.47  (step t251.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Z tptp.z2)))
% 3.21/3.47  (step t251.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule or :premises (t251.t1))
% 3.21/3.47  (step t251.t3 (cl (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t251.t2 t251.a0))
% 3.21/3.47  (step t251 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule subproof :discharge (t251.a0))
% 3.21/3.47  (step t252 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t250 t251))
% 3.21/3.47  (step t253 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies_neg2)
% 3.21/3.47  (step t254 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t252 t253))
% 3.21/3.47  (step t255 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule contraction :premises (t254))
% 3.21/3.47  (step t256 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t246 t249 t255))
% 3.21/3.47  (step t257 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule implies :premises (t256))
% 3.21/3.47  (step t258 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule resolution :premises (t257 a6))
% 3.21/3.47  (step t259 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t260)
% 3.21/3.47  (assume t260.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.21/3.47  (step t260.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Z (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.21/3.47  (step t260.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t260.t1))
% 3.21/3.47  (step t260.t3 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t260.t2 t260.a0))
% 3.21/3.47  (step t260 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t260.a0))
% 3.21/3.47  (step t261 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t259 t260))
% 3.21/3.47  (step t262 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.21/3.47  (step t263 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t261 t262))
% 3.21/3.47  (step t264 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t263))
% 3.21/3.47  (step t265 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t264))
% 3.21/3.47  (step t266 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t265 a6))
% 3.21/3.47  (step t267 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.21/3.47  (anchor :step t268)
% 3.21/3.47  (assume t268.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.21/3.47  (step t268.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (:= Y (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.47  (step t268.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t268.t1))
% 3.23/3.47  (step t268.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t268.t2 t268.a0))
% 3.23/3.47  (step t268 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t268.a0))
% 3.23/3.47  (step t269 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t267 t268))
% 3.23/3.47  (step t270 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.47  (step t271 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t269 t270))
% 3.23/3.47  (step t272 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t271))
% 3.23/3.47  (step t273 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule implies :premises (t272))
% 3.23/3.47  (step t274 (cl (not (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule equiv_pos2)
% 3.23/3.47  (anchor :step t275 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 3.23/3.47  (step t275.t1 (cl (= X X)) :rule refl)
% 3.23/3.47  (step t275.t2 (cl (= Y Y)) :rule refl)
% 3.23/3.47  (step t275.t3 (cl (= (= (tptp.meet X (tptp.join X Y)) X) (= X (tptp.meet X (tptp.join X Y))))) :rule all_simplify)
% 3.23/3.47  (step t275 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) :rule bind)
% 3.23/3.47  (step t276 (cl (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule resolution :premises (t274 t275 a5))
% 3.23/3.47  (step t277 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t273 t276))
% 3.23/3.47  (step t278 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.47  (anchor :step t279)
% 3.23/3.47  (assume t279.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.47  (step t279.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) (:= Y (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))
% 3.23/3.47  (step t279.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule or :premises (t279.t1))
% 3.23/3.47  (step t279.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule resolution :premises (t279.t2 t279.a0))
% 3.23/3.47  (step t279 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule subproof :discharge (t279.a0))
% 3.23/3.47  (step t280 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule resolution :premises (t278 t279))
% 3.23/3.47  (step t281 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))))) :rule implies_neg2)
% 3.23/3.47  (step t282 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))))) :rule resolution :premises (t280 t281))
% 3.23/3.47  (step t283 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))))) :rule contraction :premises (t282))
% 3.23/3.47  (step t284 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule implies :premises (t283))
% 3.23/3.47  (step t285 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule resolution :premises (t284 t276))
% 3.23/3.47  (step t286 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.23/3.47  (anchor :step t287)
% 3.23/3.47  (assume t287.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.23/3.47  (step t287.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (:= Y (tptp.join tptp.z2 tptp.z3))))
% 3.23/3.47  (step t287.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule or :premises (t287.t1))
% 3.23/3.47  (step t287.t3 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t287.t2 t287.a0))
% 3.23/3.47  (step t287 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule subproof :discharge (t287.a0))
% 3.23/3.47  (step t288 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t286 t287))
% 3.23/3.47  (step t289 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.47  (step t290 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t288 t289))
% 3.23/3.47  (step t291 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))))) :rule contraction :premises (t290))
% 3.23/3.47  (step t292 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t291))
% 3.23/3.47  (step t293 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t292 t143))
% 3.23/3.47  (step t294 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.23/3.47  (anchor :step t295)
% 3.23/3.47  (assume t295.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.23/3.47  (step t295.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.23/3.47  (step t295.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule or :premises (t295.t1))
% 3.23/3.47  (step t295.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule resolution :premises (t295.t2 t295.a0))
% 3.23/3.47  (step t295 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule subproof :discharge (t295.a0))
% 3.23/3.47  (step t296 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule resolution :premises (t294 t295))
% 3.23/3.47  (step t297 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule implies_neg2)
% 3.23/3.47  (step t298 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule resolution :premises (t296 t297))
% 3.23/3.47  (step t299 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule contraction :premises (t298))
% 3.23/3.47  (step t300 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule implies :premises (t299))
% 3.23/3.47  (step t301 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule resolution :premises (t300 t143))
% 3.23/3.47  (step t302 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.23/3.47  (anchor :step t303)
% 3.23/3.47  (assume t303.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.23/3.47  (step t303.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (:= Y (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.47  (step t303.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t303.t1))
% 3.23/3.47  (step t303.t3 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t303.t2 t303.a0))
% 3.23/3.47  (step t303 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t303.a0))
% 3.23/3.47  (step t304 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t302 t303))
% 3.23/3.47  (step t305 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.47  (step t306 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t304 t305))
% 3.23/3.47  (step t307 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t306))
% 3.23/3.47  (step t308 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule implies :premises (t307))
% 3.23/3.47  (step t309 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t308 t143))
% 3.23/3.47  (step t310 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 3.23/3.47  (anchor :step t311)
% 3.23/3.47  (assume t311.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.23/3.47  (step t311.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (:= Y (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (:= Z (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.47  (step t311.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule or :premises (t311.t1))
% 3.23/3.47  (step t311.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t311.t2 t311.a0))
% 3.23/3.47  (step t311 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule subproof :discharge (t311.a0))
% 3.23/3.47  (step t312 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t310 t311))
% 3.23/3.47  (step t313 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies_neg2)
% 3.23/3.47  (step t314 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t312 t313))
% 3.23/3.47  (step t315 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule contraction :premises (t314))
% 3.23/3.47  (step t316 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule implies :premises (t315))
% 3.23/3.47  (step t317 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t316 a3))
% 3.23/3.47  (step t318 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 3.23/3.47  (anchor :step t319)
% 3.23/3.47  (assume t319.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.23/3.47  (step t319.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Y tptp.z2) (:= Z (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.23/3.47  (step t319.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t319.t1))
% 3.23/3.47  (step t319.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t319.t2 t319.a0))
% 3.23/3.47  (step t319 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t319.a0))
% 3.23/3.47  (step t320 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t318 t319))
% 3.23/3.47  (step t321 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.47  (step t322 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t320 t321))
% 3.23/3.47  (step t323 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t322))
% 3.23/3.47  (step t324 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t323))
% 3.23/3.47  (step t325 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t324 a3))
% 3.23/3.47  (step t326 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 3.23/3.47  (anchor :step t327)
% 3.23/3.47  (assume t327.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.23/3.47  (step t327.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Z (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.23/3.47  (step t327.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule or :premises (t327.t1))
% 3.23/3.48  (step t327.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t327.t2 t327.a0))
% 3.23/3.48  (step t327 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule subproof :discharge (t327.a0))
% 3.23/3.48  (step t328 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t326 t327))
% 3.23/3.48  (step t329 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule implies_neg2)
% 3.23/3.48  (step t330 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t328 t329))
% 3.23/3.48  (step t331 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule contraction :premises (t330))
% 3.23/3.48  (step t332 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies :premises (t331))
% 3.23/3.48  (step t333 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t332 a3))
% 3.23/3.48  (step t334 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t335)
% 3.23/3.48  (assume t335.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t335.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.23/3.48  (step t335.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t335.t1))
% 3.23/3.48  (step t335.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t335.t2 t335.a0))
% 3.23/3.48  (step t335 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t335.a0))
% 3.23/3.48  (step t336 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t334 t335))
% 3.23/3.48  (step t337 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t338 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t336 t337))
% 3.23/3.48  (step t339 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t338))
% 3.23/3.48  (step t340 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t339))
% 3.23/3.48  (step t341 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t340 a2))
% 3.23/3.48  (step t342 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t343)
% 3.23/3.48  (assume t343.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t343.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.23/3.48  (step t343.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule or :premises (t343.t1))
% 3.23/3.48  (step t343.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule resolution :premises (t343.t2 t343.a0))
% 3.23/3.48  (step t343 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule subproof :discharge (t343.a0))
% 3.23/3.48  (step t344 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule resolution :premises (t342 t343))
% 3.23/3.48  (step t345 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t346 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))))) :rule resolution :premises (t344 t345))
% 3.23/3.48  (step t347 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))))) :rule contraction :premises (t346))
% 3.23/3.48  (step t348 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule implies :premises (t347))
% 3.23/3.48  (step t349 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule resolution :premises (t348 a2))
% 3.23/3.48  (step t350 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t351)
% 3.23/3.48  (assume t351.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t351.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))) :rule forall_inst :args ((:= X (tptp.join tptp.z3 tptp.z2)) (:= Y (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.48  (step t351.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule or :premises (t351.t1))
% 3.23/3.48  (step t351.t3 (cl (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule resolution :premises (t351.t2 t351.a0))
% 3.23/3.48  (step t351 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule subproof :discharge (t351.a0))
% 3.23/3.48  (step t352 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule resolution :premises (t350 t351))
% 3.23/3.48  (step t353 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) (not (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t354 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))) :rule resolution :premises (t352 t353))
% 3.23/3.48  (step t355 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))) :rule contraction :premises (t354))
% 3.23/3.48  (step t356 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule implies :premises (t355))
% 3.23/3.48  (step t357 (cl (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule resolution :premises (t356 a2))
% 3.23/3.48  (step t358 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t359)
% 3.23/3.48  (assume t359.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t359.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t359.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule or :premises (t359.t1))
% 3.23/3.48  (step t359.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t359.t2 t359.a0))
% 3.23/3.48  (step t359 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule subproof :discharge (t359.a0))
% 3.23/3.48  (step t360 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t358 t359))
% 3.23/3.48  (step t361 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t362 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t360 t361))
% 3.23/3.48  (step t363 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule contraction :premises (t362))
% 3.23/3.48  (step t364 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t363))
% 3.23/3.48  (step t365 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t364 a2))
% 3.23/3.48  (step t366 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t367)
% 3.23/3.48  (assume t367.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t367.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.23/3.48  (step t367.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule or :premises (t367.t1))
% 3.23/3.48  (step t367.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t367.t2 t367.a0))
% 3.23/3.48  (step t367 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule subproof :discharge (t367.a0))
% 3.23/3.48  (step t368 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t366 t367))
% 3.23/3.48  (step t369 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t370 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t368 t369))
% 3.23/3.48  (step t371 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule contraction :premises (t370))
% 3.23/3.48  (step t372 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t371))
% 3.23/3.48  (step t373 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t372 a2))
% 3.23/3.48  (step t374 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t375)
% 3.23/3.48  (assume t375.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t375.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule forall_inst :args ((:= X tptp.z2) (:= Y (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.23/3.48  (step t375.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule or :premises (t375.t1))
% 3.23/3.48  (step t375.t3 (cl (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule resolution :premises (t375.t2 t375.a0))
% 3.23/3.48  (step t375 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule subproof :discharge (t375.a0))
% 3.23/3.48  (step t376 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule resolution :premises (t374 t375))
% 3.23/3.48  (step t377 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (not (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule implies_neg2)
% 3.23/3.48  (step t378 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule resolution :premises (t376 t377))
% 3.23/3.48  (step t379 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule contraction :premises (t378))
% 3.23/3.48  (step t380 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule implies :premises (t379))
% 3.23/3.48  (step t381 (cl (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule resolution :premises (t380 a2))
% 3.23/3.48  (step t382 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t383)
% 3.23/3.48  (assume t383.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t383.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (:= Z (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 3.23/3.48  (step t383.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule or :premises (t383.t1))
% 3.23/3.48  (step t383.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t383.t2 t383.a0))
% 3.23/3.48  (step t383 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule subproof :discharge (t383.a0))
% 3.23/3.48  (step t384 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t382 t383))
% 3.23/3.48  (step t385 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule implies_neg2)
% 3.23/3.48  (step t386 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule resolution :premises (t384 t385))
% 3.23/3.48  (step t387 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule contraction :premises (t386))
% 3.23/3.48  (step t388 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule implies :premises (t387))
% 3.23/3.48  (step t389 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t388 a1))
% 3.23/3.48  (step t390 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t391)
% 3.23/3.48  (assume t391.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t391.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule forall_inst :args ((:= X tptp.z3) (:= Y (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (:= Z (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.23/3.48  (step t391.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule or :premises (t391.t1))
% 3.23/3.48  (step t391.t3 (cl (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t391.t2 t391.a0))
% 3.23/3.48  (step t391 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule subproof :discharge (t391.a0))
% 3.23/3.48  (step t392 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t390 t391))
% 3.23/3.48  (step t393 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t394 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t392 t393))
% 3.23/3.48  (step t395 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule contraction :premises (t394))
% 3.23/3.48  (step t396 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule implies :premises (t395))
% 3.23/3.48  (step t397 (cl (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t396 a1))
% 3.23/3.48  (step t398 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t399)
% 3.23/3.48  (assume t399.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t399.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (:= Y (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (:= Z (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.23/3.48  (step t399.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule or :premises (t399.t1))
% 3.23/3.48  (step t399.t3 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t399.t2 t399.a0))
% 3.23/3.48  (step t399 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule subproof :discharge (t399.a0))
% 3.23/3.48  (step t400 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t398 t399))
% 3.23/3.48  (step t401 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t402 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t400 t401))
% 3.23/3.48  (step t403 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule contraction :premises (t402))
% 3.23/3.48  (step t404 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule implies :premises (t403))
% 3.23/3.48  (step t405 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t404 a1))
% 3.23/3.48  (step t406 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t407)
% 3.23/3.48  (assume t407.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t407.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))) :rule forall_inst :args ((:= X (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (:= Y tptp.z2) (:= Z tptp.z3)))
% 3.23/3.48  (step t407.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule or :premises (t407.t1))
% 3.23/3.48  (step t407.t3 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule resolution :premises (t407.t2 t407.a0))
% 3.23/3.48  (step t407 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule subproof :discharge (t407.a0))
% 3.23/3.48  (step t408 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule resolution :premises (t406 t407))
% 3.23/3.48  (step t409 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))) :rule implies_neg2)
% 3.23/3.48  (step t410 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))) :rule resolution :premises (t408 t409))
% 3.23/3.48  (step t411 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))) :rule contraction :premises (t410))
% 3.23/3.48  (step t412 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule implies :premises (t411))
% 3.23/3.48  (step t413 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule resolution :premises (t412 a1))
% 3.23/3.48  (step t414 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t415)
% 3.23/3.48  (assume t415.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t415.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X (tptp.join tptp.z2 tptp.z3)) (:= Y (tptp.meet tptp.a tptp.z1)) (:= Z (tptp.meet tptp.a tptp.z1))))
% 3.23/3.48  (step t415.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t415.t1))
% 3.23/3.48  (step t415.t3 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t415.t2 t415.a0))
% 3.23/3.48  (step t415 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t415.a0))
% 3.23/3.48  (step t416 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t414 t415))
% 3.23/3.48  (step t417 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 3.23/3.48  (step t418 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t416 t417))
% 3.23/3.48  (step t419 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t418))
% 3.23/3.48  (step t420 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t419))
% 3.23/3.48  (step t421 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t420 a1))
% 3.23/3.48  (step t422 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t423)
% 3.23/3.48  (assume t423.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t423.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t423.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule or :premises (t423.t1))
% 3.23/3.48  (step t423.t3 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule resolution :premises (t423.t2 t423.a0))
% 3.23/3.48  (step t423 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule subproof :discharge (t423.a0))
% 3.23/3.48  (step t424 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule resolution :premises (t422 t423))
% 3.23/3.48  (step t425 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))))) :rule implies_neg2)
% 3.23/3.48  (step t426 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))))) :rule resolution :premises (t424 t425))
% 3.23/3.48  (step t427 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))))) :rule contraction :premises (t426))
% 3.23/3.48  (step t428 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule implies :premises (t427))
% 3.23/3.48  (step t429 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule resolution :premises (t428 a0))
% 3.23/3.48  (step t430 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t431)
% 3.23/3.48  (assume t431.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t431.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.23/3.48  (step t431.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t431.t1))
% 3.23/3.48  (step t431.t3 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t431.t2 t431.a0))
% 3.23/3.48  (step t431 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t431.a0))
% 3.23/3.48  (step t432 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t430 t431))
% 3.23/3.48  (step t433 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t434 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t432 t433))
% 3.23/3.48  (step t435 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t434))
% 3.23/3.48  (step t436 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t435))
% 3.23/3.48  (step t437 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t436 a0))
% 3.23/3.48  (step t438 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t439)
% 3.23/3.48  (assume t439.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t439.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t439.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t439.t1))
% 3.23/3.48  (step t439.t3 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t439.t2 t439.a0))
% 3.23/3.48  (step t439 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t439.a0))
% 3.23/3.48  (step t440 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t438 t439))
% 3.23/3.48  (step t441 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t442 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t440 t441))
% 3.23/3.48  (step t443 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t442))
% 3.23/3.48  (step t444 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t443))
% 3.23/3.48  (step t445 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t444 a0))
% 3.23/3.48  (step t446 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t447)
% 3.23/3.48  (assume t447.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t447.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule forall_inst :args ((:= X tptp.z2) (:= Y (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))))
% 3.23/3.48  (step t447.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule or :premises (t447.t1))
% 3.23/3.48  (step t447.t3 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule resolution :premises (t447.t2 t447.a0))
% 3.23/3.48  (step t447 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule subproof :discharge (t447.a0))
% 3.23/3.48  (step t448 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule resolution :premises (t446 t447))
% 3.23/3.48  (step t449 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule implies_neg2)
% 3.23/3.48  (step t450 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule resolution :premises (t448 t449))
% 3.23/3.48  (step t451 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule contraction :premises (t450))
% 3.23/3.48  (step t452 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule implies :premises (t451))
% 3.23/3.48  (step t453 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule resolution :premises (t452 a0))
% 3.23/3.48  (step t454 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t455)
% 3.23/3.48  (assume t455.a0 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 3.23/3.48  (step t455.t1 (cl (or (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule forall_inst :args ((:= X1 (tptp.meet tptp.z1 tptp.z2)) (:= Y1 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= W (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t455.t2 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule or :premises (t455.t1))
% 3.23/3.48  (step t455.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t455.t2 t455.a0))
% 3.23/3.48  (step t455 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule subproof :discharge (t455.a0))
% 3.23/3.48  (step t456 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t454 t455))
% 3.23/3.48  (step t457 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule implies_neg2)
% 3.23/3.48  (step t458 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule resolution :premises (t456 t457))
% 3.23/3.48  (step t459 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule contraction :premises (t458))
% 3.23/3.48  (step t460 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies :premises (t459))
% 3.23/3.48  (step t461 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t460 a10))
% 3.23/3.48  (step t462 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule equiv_pos2)
% 3.23/3.48  (step t463 (cl (= (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule all_simplify)
% 3.23/3.48  (step t464 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule cong :premises (t247 t463))
% 3.23/3.48  (step t465 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t466)
% 3.23/3.48  (assume t466.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.23/3.48  (step t466.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (:= Y (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (:= Z (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.48  (step t466.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t466.t1))
% 3.23/3.48  (step t466.t3 (cl (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t466.t2 t466.a0))
% 3.23/3.48  (step t466 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t466.a0))
% 3.23/3.48  (step t467 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t465 t466))
% 3.23/3.48  (step t468 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t469 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t467 t468))
% 3.23/3.48  (step t470 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t469))
% 3.23/3.48  (step t471 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t462 t464 t470))
% 3.23/3.48  (step t472 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule implies :premises (t471))
% 3.23/3.48  (step t473 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t472 a6))
% 3.23/3.48  (step t474 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t475)
% 3.23/3.48  (assume t475.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.23/3.48  (step t475.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.meet tptp.z2 tptp.z3)) (:= Z (tptp.join tptp.z2 tptp.z3))))
% 3.23/3.48  (step t475.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule or :premises (t475.t1))
% 3.23/3.48  (step t475.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t475.t2 t475.a0))
% 3.23/3.48  (step t475 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule subproof :discharge (t475.a0))
% 3.23/3.48  (step t476 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t474 t475))
% 3.23/3.48  (step t477 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t478 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t476 t477))
% 3.23/3.48  (step t479 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule contraction :premises (t478))
% 3.23/3.48  (step t480 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t479))
% 3.23/3.48  (step t481 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t480 a6))
% 3.23/3.48  (step t482 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t483)
% 3.23/3.48  (assume t483.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.23/3.48  (step t483.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Z tptp.z2)))
% 3.23/3.48  (step t483.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule or :premises (t483.t1))
% 3.23/3.48  (step t483.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t483.t2 t483.a0))
% 3.23/3.48  (step t483 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule subproof :discharge (t483.a0))
% 3.23/3.48  (step t484 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t482 t483))
% 3.23/3.48  (step t485 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t486 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t484 t485))
% 3.23/3.48  (step t487 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule contraction :premises (t486))
% 3.23/3.48  (step t488 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule implies :premises (t487))
% 3.23/3.48  (step t489 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t488 a6))
% 3.23/3.48  (step t490 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t491)
% 3.23/3.48  (assume t491.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.23/3.48  (step t491.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.join tptp.z2 tptp.z3)) (:= Z (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.48  (step t491.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t491.t1))
% 3.23/3.48  (step t491.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t491.t2 t491.a0))
% 3.23/3.48  (step t491 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t491.a0))
% 3.23/3.48  (step t492 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t490 t491))
% 3.23/3.48  (step t493 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t494 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t492 t493))
% 3.23/3.48  (step t495 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t494))
% 3.23/3.48  (step t496 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule implies :premises (t495))
% 3.23/3.48  (step t497 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t496 a6))
% 3.23/3.48  (step t498 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t499)
% 3.23/3.48  (assume t499.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.23/3.48  (step t499.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z2) (:= Z (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t499.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t499.t1))
% 3.23/3.48  (step t499.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t499.t2 t499.a0))
% 3.23/3.48  (step t499 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t499.a0))
% 3.23/3.48  (step t500 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t498 t499))
% 3.23/3.48  (step t501 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t502 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t500 t501))
% 3.23/3.48  (step t503 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t502))
% 3.23/3.48  (step t504 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t503))
% 3.23/3.48  (step t505 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t504 a6))
% 3.23/3.48  (step t506 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t507)
% 3.23/3.48  (assume t507.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.48  (step t507.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (:= Y (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 3.23/3.48  (step t507.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule or :premises (t507.t1))
% 3.23/3.48  (step t507.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t507.t2 t507.a0))
% 3.23/3.48  (step t507 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule subproof :discharge (t507.a0))
% 3.23/3.48  (step t508 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t506 t507))
% 3.23/3.48  (step t509 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule implies_neg2)
% 3.23/3.48  (step t510 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule resolution :premises (t508 t509))
% 3.23/3.48  (step t511 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule contraction :premises (t510))
% 3.23/3.48  (step t512 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule implies :premises (t511))
% 3.23/3.48  (step t513 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t512 t276))
% 3.23/3.48  (step t514 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t515)
% 3.23/3.48  (assume t515.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.48  (step t515.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.23/3.48  (step t515.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule or :premises (t515.t1))
% 3.23/3.48  (step t515.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t515.t2 t515.a0))
% 3.23/3.48  (step t515 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule subproof :discharge (t515.a0))
% 3.23/3.48  (step t516 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t514 t515))
% 3.23/3.48  (step t517 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule implies_neg2)
% 3.23/3.48  (step t518 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule resolution :premises (t516 t517))
% 3.23/3.48  (step t519 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule contraction :premises (t518))
% 3.23/3.48  (step t520 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies :premises (t519))
% 3.23/3.48  (step t521 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t520 t276))
% 3.23/3.48  (step t522 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t523)
% 3.23/3.48  (assume t523.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.48  (step t523.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.23/3.48  (step t523.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule or :premises (t523.t1))
% 3.23/3.48  (step t523.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t523.t2 t523.a0))
% 3.23/3.48  (step t523 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule subproof :discharge (t523.a0))
% 3.23/3.48  (step t524 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t522 t523))
% 3.23/3.48  (step t525 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule implies_neg2)
% 3.23/3.48  (step t526 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t524 t525))
% 3.23/3.48  (step t527 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule contraction :premises (t526))
% 3.23/3.48  (step t528 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule implies :premises (t527))
% 3.23/3.48  (step t529 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t528 t276))
% 3.23/3.48  (step t530 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t531)
% 3.23/3.48  (assume t531.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.48  (step t531.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.23/3.48  (step t531.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule or :premises (t531.t1))
% 3.23/3.48  (step t531.t3 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t531.t2 t531.a0))
% 3.23/3.48  (step t531 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule subproof :discharge (t531.a0))
% 3.23/3.48  (step t532 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t530 t531))
% 3.23/3.48  (step t533 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))) :rule implies_neg2)
% 3.23/3.48  (step t534 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))) :rule resolution :premises (t532 t533))
% 3.23/3.48  (step t535 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))) :rule contraction :premises (t534))
% 3.23/3.48  (step t536 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule implies :premises (t535))
% 3.23/3.48  (step t537 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t536 t276))
% 3.23/3.48  (step t538 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t539)
% 3.23/3.48  (assume t539.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.48  (step t539.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule forall_inst :args ((:= X tptp.z3) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.23/3.48  (step t539.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule or :premises (t539.t1))
% 3.23/3.48  (step t539.t3 (cl (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t539.t2 t539.a0))
% 3.23/3.48  (step t539 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule subproof :discharge (t539.a0))
% 3.23/3.48  (step t540 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t538 t539))
% 3.23/3.48  (step t541 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule implies_neg2)
% 3.23/3.48  (step t542 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t540 t541))
% 3.23/3.48  (step t543 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule contraction :premises (t542))
% 3.23/3.48  (step t544 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule implies :premises (t543))
% 3.23/3.48  (step t545 (cl (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t544 t276))
% 3.23/3.48  (step t546 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t547)
% 3.23/3.48  (assume t547.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.23/3.48  (step t547.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))
% 3.23/3.48  (step t547.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule or :premises (t547.t1))
% 3.23/3.48  (step t547.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t547.t2 t547.a0))
% 3.23/3.48  (step t547 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule subproof :discharge (t547.a0))
% 3.23/3.48  (step t548 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t546 t547))
% 3.23/3.48  (step t549 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule implies_neg2)
% 3.23/3.48  (step t550 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule resolution :premises (t548 t549))
% 3.23/3.48  (step t551 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule contraction :premises (t550))
% 3.23/3.48  (step t552 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule implies :premises (t551))
% 3.23/3.48  (step t553 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t552 t143))
% 3.23/3.48  (step t554 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t555)
% 3.23/3.48  (assume t555.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.23/3.48  (step t555.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.23/3.48  (step t555.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule or :premises (t555.t1))
% 3.23/3.48  (step t555.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t555.t2 t555.a0))
% 3.23/3.48  (step t555 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule subproof :discharge (t555.a0))
% 3.23/3.48  (step t556 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t554 t555))
% 3.23/3.48  (step t557 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule implies_neg2)
% 3.23/3.48  (step t558 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t556 t557))
% 3.23/3.48  (step t559 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule contraction :premises (t558))
% 3.23/3.48  (step t560 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies :premises (t559))
% 3.23/3.48  (step t561 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t560 t143))
% 3.23/3.48  (step t562 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t563)
% 3.23/3.48  (assume t563.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.23/3.48  (step t563.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.23/3.48  (step t563.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule or :premises (t563.t1))
% 3.23/3.48  (step t563.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t563.t2 t563.a0))
% 3.23/3.48  (step t563 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule subproof :discharge (t563.a0))
% 3.23/3.48  (step t564 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t562 t563))
% 3.23/3.48  (step t565 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule implies_neg2)
% 3.23/3.48  (step t566 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule resolution :premises (t564 t565))
% 3.23/3.48  (step t567 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule contraction :premises (t566))
% 3.23/3.48  (step t568 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies :premises (t567))
% 3.23/3.48  (step t569 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t568 t143))
% 3.23/3.48  (step t570 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t571)
% 3.23/3.48  (assume t571.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.23/3.48  (step t571.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))
% 3.23/3.48  (step t571.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule or :premises (t571.t1))
% 3.23/3.48  (step t571.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule resolution :premises (t571.t2 t571.a0))
% 3.23/3.48  (step t571 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule subproof :discharge (t571.a0))
% 3.23/3.48  (step t572 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule resolution :premises (t570 t571))
% 3.23/3.48  (step t573 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule implies_neg2)
% 3.23/3.48  (step t574 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule resolution :premises (t572 t573))
% 3.23/3.48  (step t575 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule contraction :premises (t574))
% 3.23/3.48  (step t576 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule implies :premises (t575))
% 3.23/3.48  (step t577 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule resolution :premises (t576 t143))
% 3.23/3.48  (step t578 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t579)
% 3.23/3.48  (assume t579.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.23/3.48  (step t579.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X tptp.z2) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t579.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t579.t1))
% 3.23/3.48  (step t579.t3 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t579.t2 t579.a0))
% 3.23/3.48  (step t579 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t579.a0))
% 3.23/3.48  (step t580 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t578 t579))
% 3.23/3.48  (step t581 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t582 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t580 t581))
% 3.23/3.48  (step t583 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t582))
% 3.23/3.48  (step t584 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t583))
% 3.23/3.48  (step t585 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t584 t143))
% 3.23/3.48  (step t586 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t587)
% 3.23/3.48  (assume t587.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.23/3.48  (step t587.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3))) (:= Y tptp.z2) (:= Z tptp.z3)))
% 3.23/3.48  (step t587.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule or :premises (t587.t1))
% 3.23/3.48  (step t587.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule resolution :premises (t587.t2 t587.a0))
% 3.23/3.48  (step t587 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule subproof :discharge (t587.a0))
% 3.23/3.48  (step t588 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule resolution :premises (t586 t587))
% 3.23/3.48  (step t589 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))) :rule implies_neg2)
% 3.23/3.48  (step t590 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))) :rule resolution :premises (t588 t589))
% 3.23/3.48  (step t591 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))) :rule contraction :premises (t590))
% 3.23/3.48  (step t592 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule implies :premises (t591))
% 3.23/3.48  (step t593 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule resolution :premises (t592 a3))
% 3.23/3.48  (step t594 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t595)
% 3.23/3.48  (assume t595.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.23/3.48  (step t595.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X tptp.z3) (:= Y tptp.z2) (:= Z (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.48  (step t595.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule or :premises (t595.t1))
% 3.23/3.48  (step t595.t3 (cl (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t595.t2 t595.a0))
% 3.23/3.48  (step t595 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule subproof :discharge (t595.a0))
% 3.23/3.48  (step t596 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t594 t595))
% 3.23/3.48  (step t597 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t598 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t596 t597))
% 3.23/3.48  (step t599 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule contraction :premises (t598))
% 3.23/3.48  (step t600 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule implies :premises (t599))
% 3.23/3.48  (step t601 (cl (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t600 a3))
% 3.23/3.48  (step t602 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t603)
% 3.23/3.48  (assume t603.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.23/3.48  (step t603.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Y tptp.z2) (:= Z (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.48  (step t603.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule or :premises (t603.t1))
% 3.23/3.48  (step t603.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t603.t2 t603.a0))
% 3.23/3.48  (step t603 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule subproof :discharge (t603.a0))
% 3.23/3.48  (step t604 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t602 t603))
% 3.23/3.48  (step t605 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t606 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t604 t605))
% 3.23/3.48  (step t607 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule contraction :premises (t606))
% 3.23/3.48  (step t608 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule implies :premises (t607))
% 3.23/3.48  (step t609 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t608 a3))
% 3.23/3.48  (step t610 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t611)
% 3.23/3.48  (assume t611.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t611.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (:= Y (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 3.23/3.48  (step t611.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule or :premises (t611.t1))
% 3.23/3.48  (step t611.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t611.t2 t611.a0))
% 3.23/3.48  (step t611 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule subproof :discharge (t611.a0))
% 3.23/3.48  (step t612 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t610 t611))
% 3.23/3.48  (step t613 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t614 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t612 t613))
% 3.23/3.48  (step t615 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule contraction :premises (t614))
% 3.23/3.48  (step t616 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t615))
% 3.23/3.48  (step t617 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t616 a2))
% 3.23/3.48  (step t618 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t619)
% 3.23/3.48  (assume t619.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t619.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (:= Y (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.23/3.48  (step t619.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t619.t1))
% 3.23/3.48  (step t619.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t619.t2 t619.a0))
% 3.23/3.48  (step t619 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t619.a0))
% 3.23/3.48  (step t620 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t618 t619))
% 3.23/3.48  (step t621 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t622 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t620 t621))
% 3.23/3.48  (step t623 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t622))
% 3.23/3.48  (step t624 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule implies :premises (t623))
% 3.23/3.48  (step t625 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t624 a2))
% 3.23/3.48  (step t626 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t627)
% 3.23/3.48  (assume t627.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t627.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y tptp.z2)))
% 3.23/3.48  (step t627.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t627.t1))
% 3.23/3.48  (step t627.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t627.t2 t627.a0))
% 3.23/3.48  (step t627 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t627.a0))
% 3.23/3.48  (step t628 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t626 t627))
% 3.23/3.48  (step t629 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t630 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t628 t629))
% 3.23/3.48  (step t631 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t630))
% 3.23/3.48  (step t632 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t631))
% 3.23/3.48  (step t633 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t632 a2))
% 3.23/3.48  (step t634 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t635)
% 3.23/3.48  (assume t635.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t635.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.23/3.48  (step t635.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t635.t1))
% 3.23/3.48  (step t635.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t635.t2 t635.a0))
% 3.23/3.48  (step t635 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t635.a0))
% 3.23/3.48  (step t636 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t634 t635))
% 3.23/3.48  (step t637 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t638 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t636 t637))
% 3.23/3.48  (step t639 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t638))
% 3.23/3.48  (step t640 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t639))
% 3.23/3.48  (step t641 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t640 a2))
% 3.23/3.48  (step t642 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule equiv_pos2)
% 3.23/3.48  (step t643 (cl (= (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))) :rule refl)
% 3.23/3.48  (step t644 (cl (= (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule all_simplify)
% 3.23/3.48  (step t645 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule cong :premises (t643 t644))
% 3.23/3.48  (step t646 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t647)
% 3.23/3.48  (assume t647.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t647.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.z1) (:= Z (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t647.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule or :premises (t647.t1))
% 3.23/3.48  (step t647.t3 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t647.t2 t647.a0))
% 3.23/3.48  (step t647 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule subproof :discharge (t647.a0))
% 3.23/3.48  (step t648 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t646 t647))
% 3.23/3.48  (step t649 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t650 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t648 t649))
% 3.23/3.48  (step t651 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule contraction :premises (t650))
% 3.23/3.48  (step t652 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t642 t645 t651))
% 3.23/3.48  (step t653 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t652))
% 3.23/3.48  (step t654 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t653 a1))
% 3.23/3.48  (step t655 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule equiv_pos2)
% 3.23/3.48  (step t656 (cl (= (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule all_simplify)
% 3.23/3.48  (step t657 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))))) :rule cong :premises (t643 t656))
% 3.23/3.48  (step t658 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t659)
% 3.23/3.48  (assume t659.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t659.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z3) (:= Z (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.23/3.48  (step t659.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule or :premises (t659.t1))
% 3.23/3.48  (step t659.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t659.t2 t659.a0))
% 3.23/3.48  (step t659 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule subproof :discharge (t659.a0))
% 3.23/3.48  (step t660 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t658 t659))
% 3.23/3.48  (step t661 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t662 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t660 t661))
% 3.23/3.48  (step t663 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule contraction :premises (t662))
% 3.23/3.48  (step t664 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t655 t657 t663))
% 3.23/3.48  (step t665 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies :premises (t664))
% 3.23/3.48  (step t666 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t665 a1))
% 3.23/3.48  (step t667 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t668)
% 3.23/3.48  (assume t668.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t668.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (:= Y (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (:= Z (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.23/3.48  (step t668.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t668.t1))
% 3.23/3.48  (step t668.t3 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t668.t2 t668.a0))
% 3.23/3.48  (step t668 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t668.a0))
% 3.23/3.48  (step t669 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t667 t668))
% 3.23/3.48  (step t670 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t671 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t669 t670))
% 3.23/3.48  (step t672 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t671))
% 3.23/3.48  (step t673 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule implies :premises (t672))
% 3.23/3.48  (step t674 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t673 a1))
% 3.23/3.48  (step t675 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t676)
% 3.23/3.48  (assume t676.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t676.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (:= Z (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 3.23/3.48  (step t676.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule or :premises (t676.t1))
% 3.23/3.48  (step t676.t3 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t676.t2 t676.a0))
% 3.23/3.48  (step t676 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule subproof :discharge (t676.a0))
% 3.23/3.48  (step t677 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t675 t676))
% 3.23/3.48  (step t678 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t679 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t677 t678))
% 3.23/3.48  (step t680 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule contraction :premises (t679))
% 3.23/3.48  (step t681 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t680))
% 3.23/3.48  (step t682 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t681 a1))
% 3.23/3.48  (step t683 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t684)
% 3.23/3.48  (assume t684.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t684.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X tptp.z2) (:= Y (tptp.join tptp.z2 tptp.z3)) (:= Z (tptp.meet tptp.a tptp.z1))))
% 3.23/3.48  (step t684.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t684.t1))
% 3.23/3.48  (step t684.t3 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t684.t2 t684.a0))
% 3.23/3.48  (step t684 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t684.a0))
% 3.23/3.48  (step t685 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t683 t684))
% 3.23/3.48  (step t686 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 3.23/3.48  (step t687 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t685 t686))
% 3.23/3.48  (step t688 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t687))
% 3.23/3.48  (step t689 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t688))
% 3.23/3.48  (step t690 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t689 a1))
% 3.23/3.48  (step t691 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t692)
% 3.23/3.48  (assume t692.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t692.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Y tptp.z2) (:= Z (tptp.join tptp.z2 tptp.z3))))
% 3.23/3.48  (step t692.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule or :premises (t692.t1))
% 3.23/3.48  (step t692.t3 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t692.t2 t692.a0))
% 3.23/3.48  (step t692 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule subproof :discharge (t692.a0))
% 3.23/3.48  (step t693 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t691 t692))
% 3.23/3.48  (step t694 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t695 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t693 t694))
% 3.23/3.48  (step t696 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule contraction :premises (t695))
% 3.23/3.48  (step t697 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule implies :premises (t696))
% 3.23/3.48  (step t698 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t697 a1))
% 3.23/3.48  (step t699 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t700)
% 3.23/3.48  (assume t700.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t700.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z2) (:= Z tptp.z3)))
% 3.23/3.48  (step t700.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule or :premises (t700.t1))
% 3.23/3.48  (step t700.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule resolution :premises (t700.t2 t700.a0))
% 3.23/3.48  (step t700 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule subproof :discharge (t700.a0))
% 3.23/3.48  (step t701 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule resolution :premises (t699 t700))
% 3.23/3.48  (step t702 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule implies_neg2)
% 3.23/3.48  (step t703 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t701 t702))
% 3.23/3.48  (step t704 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule contraction :premises (t703))
% 3.23/3.48  (step t705 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule implies :premises (t704))
% 3.23/3.48  (step t706 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule resolution :premises (t705 a1))
% 3.23/3.48  (step t707 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t708)
% 3.23/3.48  (assume t708.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t708.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule forall_inst :args ((:= X tptp.z2) (:= Y (tptp.meet tptp.a tptp.z1)) (:= Z tptp.z3)))
% 3.23/3.48  (step t708.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule or :premises (t708.t1))
% 3.23/3.48  (step t708.t3 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t708.t2 t708.a0))
% 3.23/3.48  (step t708 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule subproof :discharge (t708.a0))
% 3.23/3.48  (step t709 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t707 t708))
% 3.23/3.48  (step t710 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule implies_neg2)
% 3.23/3.48  (step t711 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule resolution :premises (t709 t710))
% 3.23/3.48  (step t712 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule contraction :premises (t711))
% 3.23/3.48  (step t713 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule implies :premises (t712))
% 3.23/3.48  (step t714 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t713 a1))
% 3.23/3.48  (step t715 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t716)
% 3.23/3.48  (assume t716.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t716.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.meet tptp.a tptp.z1)) (:= Z tptp.z3)))
% 3.23/3.48  (step t716.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule or :premises (t716.t1))
% 3.23/3.48  (step t716.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t716.t2 t716.a0))
% 3.23/3.48  (step t716 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule subproof :discharge (t716.a0))
% 3.23/3.48  (step t717 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t715 t716))
% 3.23/3.48  (step t718 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule implies_neg2)
% 3.23/3.48  (step t719 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule resolution :premises (t717 t718))
% 3.23/3.48  (step t720 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule contraction :premises (t719))
% 3.23/3.48  (step t721 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule implies :premises (t720))
% 3.23/3.48  (step t722 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t721 a1))
% 3.23/3.48  (step t723 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t724)
% 3.23/3.48  (assume t724.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t724.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (:= Z (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 3.23/3.48  (step t724.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule or :premises (t724.t1))
% 3.23/3.48  (step t724.t3 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t724.t2 t724.a0))
% 3.23/3.48  (step t724 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule subproof :discharge (t724.a0))
% 3.23/3.48  (step t725 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t723 t724))
% 3.23/3.48  (step t726 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t727 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule resolution :premises (t725 t726))
% 3.23/3.48  (step t728 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule contraction :premises (t727))
% 3.23/3.48  (step t729 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule implies :premises (t728))
% 3.23/3.48  (step t730 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t729 a1))
% 3.23/3.48  (step t731 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t732)
% 3.23/3.48  (assume t732.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t732.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X tptp.z3) (:= Y tptp.z2) (:= Z (tptp.join tptp.z2 tptp.z3))))
% 3.23/3.48  (step t732.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule or :premises (t732.t1))
% 3.23/3.48  (step t732.t3 (cl (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t732.t2 t732.a0))
% 3.23/3.48  (step t732 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule subproof :discharge (t732.a0))
% 3.23/3.48  (step t733 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t731 t732))
% 3.23/3.48  (step t734 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t735 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t733 t734))
% 3.23/3.48  (step t736 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule contraction :premises (t735))
% 3.23/3.48  (step t737 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule implies :premises (t736))
% 3.23/3.48  (step t738 (cl (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t737 a1))
% 3.23/3.48  (step t739 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t740)
% 3.23/3.48  (assume t740.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t740.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))
% 3.23/3.48  (step t740.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t740.t1))
% 3.23/3.48  (step t740.t3 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t740.t2 t740.a0))
% 3.23/3.48  (step t740 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t740.a0))
% 3.23/3.48  (step t741 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t739 t740))
% 3.23/3.48  (step t742 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t743 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t741 t742))
% 3.23/3.48  (step t744 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t743))
% 3.23/3.48  (step t745 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule implies :premises (t744))
% 3.23/3.48  (step t746 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t745 a0))
% 3.23/3.48  (step t747 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t748)
% 3.23/3.48  (assume t748.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t748.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X (tptp.join tptp.z2 tptp.z3)) (:= Y (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.48  (step t748.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule or :premises (t748.t1))
% 3.23/3.48  (step t748.t3 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t748.t2 t748.a0))
% 3.23/3.48  (step t748 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule subproof :discharge (t748.a0))
% 3.23/3.48  (step t749 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t747 t748))
% 3.23/3.48  (step t750 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t751 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t749 t750))
% 3.23/3.48  (step t752 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule contraction :premises (t751))
% 3.23/3.48  (step t753 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule implies :premises (t752))
% 3.23/3.48  (step t754 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t753 a0))
% 3.23/3.48  (step t755 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t756)
% 3.23/3.48  (assume t756.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t756.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))
% 3.23/3.48  (step t756.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t756.t1))
% 3.23/3.48  (step t756.t3 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t756.t2 t756.a0))
% 3.23/3.48  (step t756 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t756.a0))
% 3.23/3.48  (step t757 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t755 t756))
% 3.23/3.48  (step t758 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t759 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t757 t758))
% 3.23/3.48  (step t760 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t759))
% 3.23/3.48  (step t761 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t760))
% 3.23/3.48  (step t762 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t761 a0))
% 3.23/3.48  (step t763 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t764)
% 3.23/3.48  (assume t764.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t764.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule forall_inst :args ((:= X tptp.z2) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t764.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule or :premises (t764.t1))
% 3.23/3.48  (step t764.t3 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule resolution :premises (t764.t2 t764.a0))
% 3.23/3.48  (step t764 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule subproof :discharge (t764.a0))
% 3.23/3.48  (step t765 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule resolution :premises (t763 t764))
% 3.23/3.48  (step t766 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule implies_neg2)
% 3.23/3.48  (step t767 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t765 t766))
% 3.23/3.48  (step t768 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule contraction :premises (t767))
% 3.23/3.48  (step t769 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule implies :premises (t768))
% 3.23/3.48  (step t770 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule resolution :premises (t769 a0))
% 3.23/3.48  (step t771 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t772)
% 3.23/3.48  (assume t772.a0 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 3.23/3.48  (step t772.t1 (cl (or (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X1 tptp.z1) (:= Y1 (tptp.meet tptp.z2 tptp.z3)) (:= W (tptp.join tptp.z2 tptp.z3))))
% 3.23/3.48  (step t772.t2 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t772.t1))
% 3.23/3.48  (step t772.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t772.t2 t772.a0))
% 3.23/3.48  (step t772 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t772.a0))
% 3.23/3.48  (step t773 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t771 t772))
% 3.23/3.48  (step t774 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t775 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t773 t774))
% 3.23/3.48  (step t776 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t775))
% 3.23/3.48  (step t777 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule implies :premises (t776))
% 3.23/3.48  (step t778 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t777 a10))
% 3.23/3.48  (step t779 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t780)
% 3.23/3.48  (assume t780.a0 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 3.23/3.48  (step t780.t1 (cl (or (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X1 tptp.z1) (:= Y1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= W tptp.z2)))
% 3.23/3.48  (step t780.t2 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t780.t1))
% 3.23/3.48  (step t780.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t780.t2 t780.a0))
% 3.23/3.48  (step t780 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t780.a0))
% 3.23/3.48  (step t781 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t779 t780))
% 3.23/3.48  (step t782 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t783 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t781 t782))
% 3.23/3.48  (step t784 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t783))
% 3.23/3.48  (step t785 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t784))
% 3.23/3.48  (step t786 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t785 a10))
% 3.23/3.48  (step t787 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t788)
% 3.23/3.48  (assume t788.a0 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 3.23/3.48  (step t788.t1 (cl (or (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X1 tptp.z1) (:= Y1 (tptp.join tptp.z2 tptp.z3)) (:= W (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.48  (step t788.t2 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule or :premises (t788.t1))
% 3.23/3.48  (step t788.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t788.t2 t788.a0))
% 3.23/3.48  (step t788 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule subproof :discharge (t788.a0))
% 3.23/3.48  (step t789 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t787 t788))
% 3.23/3.48  (step t790 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t791 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t789 t790))
% 3.23/3.48  (step t792 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule contraction :premises (t791))
% 3.23/3.48  (step t793 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t792))
% 3.23/3.48  (step t794 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t793 a10))
% 3.23/3.48  (step t795 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t796)
% 3.23/3.48  (assume t796.a0 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 3.23/3.48  (step t796.t1 (cl (or (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule forall_inst :args ((:= X1 tptp.z1) (:= Y1 tptp.z2) (:= W (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t796.t2 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule or :premises (t796.t1))
% 3.23/3.48  (step t796.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule resolution :premises (t796.t2 t796.a0))
% 3.23/3.48  (step t796 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule subproof :discharge (t796.a0))
% 3.23/3.48  (step t797 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule resolution :premises (t795 t796))
% 3.23/3.48  (step t798 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t799 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule resolution :premises (t797 t798))
% 3.23/3.48  (step t800 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule contraction :premises (t799))
% 3.23/3.48  (step t801 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule implies :premises (t800))
% 3.23/3.48  (step t802 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule resolution :premises (t801 a10))
% 3.23/3.48  (step t803 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t804)
% 3.23/3.48  (assume t804.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.48  (step t804.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Y tptp.z2)))
% 3.23/3.48  (step t804.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule or :premises (t804.t1))
% 3.23/3.48  (step t804.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t804.t2 t804.a0))
% 3.23/3.48  (step t804 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule subproof :discharge (t804.a0))
% 3.23/3.48  (step t805 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t803 t804))
% 3.23/3.48  (step t806 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t807 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t805 t806))
% 3.23/3.48  (step t808 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule contraction :premises (t807))
% 3.23/3.48  (step t809 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule implies :premises (t808))
% 3.23/3.48  (step t810 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t809 t276))
% 3.23/3.48  (step t811 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t812)
% 3.23/3.48  (assume t812.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.48  (step t812.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t812.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t812.t1))
% 3.23/3.48  (step t812.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t812.t2 t812.a0))
% 3.23/3.48  (step t812 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t812.a0))
% 3.23/3.48  (step t813 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t811 t812))
% 3.23/3.48  (step t814 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t815 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t813 t814))
% 3.23/3.48  (step t816 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t815))
% 3.23/3.48  (step t817 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t816))
% 3.23/3.48  (step t818 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t817 t276))
% 3.23/3.48  (step t819 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t820)
% 3.23/3.48  (assume t820.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.48  (step t820.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (:= Y (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.48  (step t820.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t820.t1))
% 3.23/3.48  (step t820.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t820.t2 t820.a0))
% 3.23/3.48  (step t820 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t820.a0))
% 3.23/3.48  (step t821 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t819 t820))
% 3.23/3.48  (step t822 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t823 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t821 t822))
% 3.23/3.48  (step t824 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t823))
% 3.23/3.48  (step t825 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule implies :premises (t824))
% 3.23/3.48  (step t826 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t825 t276))
% 3.23/3.48  (step t827 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t828)
% 3.23/3.48  (assume t828.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.48  (step t828.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X tptp.z2) (:= Y tptp.z3)))
% 3.23/3.48  (step t828.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule or :premises (t828.t1))
% 3.23/3.48  (step t828.t3 (cl (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t828.t2 t828.a0))
% 3.23/3.48  (step t828 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule subproof :discharge (t828.a0))
% 3.23/3.48  (step t829 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t827 t828))
% 3.23/3.48  (step t830 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (not (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t831 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t829 t830))
% 3.23/3.48  (step t832 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))) :rule contraction :premises (t831))
% 3.23/3.48  (step t833 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule implies :premises (t832))
% 3.23/3.48  (step t834 (cl (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t833 t276))
% 3.23/3.48  (step t835 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t836)
% 3.23/3.48  (assume t836.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 3.23/3.48  (step t836.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.meet tptp.a tptp.z1))))
% 3.23/3.48  (step t836.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule or :premises (t836.t1))
% 3.23/3.48  (step t836.t3 (cl (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t836.t2 t836.a0))
% 3.23/3.48  (step t836 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule subproof :discharge (t836.a0))
% 3.23/3.48  (step t837 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t835 t836))
% 3.23/3.48  (step t838 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (not (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))))) :rule implies_neg2)
% 3.23/3.48  (step t839 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))))) :rule resolution :premises (t837 t838))
% 3.23/3.48  (step t840 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))))) :rule contraction :premises (t839))
% 3.23/3.48  (step t841 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule implies :premises (t840))
% 3.23/3.48  (step t842 (cl (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t841 t276))
% 3.23/3.48  (step t843 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t844)
% 3.23/3.48  (assume t844.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.23/3.48  (step t844.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.join tptp.z2 tptp.z3))))
% 3.23/3.48  (step t844.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule or :premises (t844.t1))
% 3.23/3.48  (step t844.t3 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t844.t2 t844.a0))
% 3.23/3.48  (step t844 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule subproof :discharge (t844.a0))
% 3.23/3.48  (step t845 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t843 t844))
% 3.23/3.48  (step t846 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 3.23/3.48  (step t847 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t845 t846))
% 3.23/3.48  (step t848 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule contraction :premises (t847))
% 3.23/3.48  (step t849 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t848))
% 3.23/3.48  (step t850 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t849 t143))
% 3.23/3.48  (step t851 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t852)
% 3.23/3.48  (assume t852.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 3.23/3.48  (step t852.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X tptp.z2) (:= Y tptp.z3)))
% 3.23/3.48  (step t852.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule or :premises (t852.t1))
% 3.23/3.48  (step t852.t3 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t852.t2 t852.a0))
% 3.23/3.48  (step t852 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule subproof :discharge (t852.a0))
% 3.23/3.48  (step t853 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t851 t852))
% 3.23/3.48  (step t854 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t855 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t853 t854))
% 3.23/3.48  (step t856 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))) :rule contraction :premises (t855))
% 3.23/3.48  (step t857 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule implies :premises (t856))
% 3.23/3.48  (step t858 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t857 t143))
% 3.23/3.48  (step t859 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t860)
% 3.23/3.48  (assume t860.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t860.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Y tptp.z2)))
% 3.23/3.48  (step t860.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule or :premises (t860.t1))
% 3.23/3.48  (step t860.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t860.t2 t860.a0))
% 3.23/3.48  (step t860 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule subproof :discharge (t860.a0))
% 3.23/3.48  (step t861 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t859 t860))
% 3.23/3.48  (step t862 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t863 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t861 t862))
% 3.23/3.48  (step t864 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule contraction :premises (t863))
% 3.23/3.48  (step t865 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule implies :premises (t864))
% 3.23/3.48  (step t866 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t865 a2))
% 3.23/3.48  (step t867 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t868)
% 3.23/3.48  (assume t868.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t868.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.23/3.48  (step t868.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule or :premises (t868.t1))
% 3.23/3.48  (step t868.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule resolution :premises (t868.t2 t868.a0))
% 3.23/3.48  (step t868 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule subproof :discharge (t868.a0))
% 3.23/3.48  (step t869 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule resolution :premises (t867 t868))
% 3.23/3.48  (step t870 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t871 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t869 t870))
% 3.23/3.48  (step t872 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule contraction :premises (t871))
% 3.23/3.48  (step t873 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule implies :premises (t872))
% 3.23/3.48  (step t874 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule resolution :premises (t873 a2))
% 3.23/3.48  (step t875 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t876)
% 3.23/3.48  (assume t876.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t876.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (:= Y tptp.z3)))
% 3.23/3.48  (step t876.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule or :premises (t876.t1))
% 3.23/3.48  (step t876.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule resolution :premises (t876.t2 t876.a0))
% 3.23/3.48  (step t876 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule subproof :discharge (t876.a0))
% 3.23/3.48  (step t877 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule resolution :premises (t875 t876))
% 3.23/3.48  (step t878 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t879 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t877 t878))
% 3.23/3.48  (step t880 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule contraction :premises (t879))
% 3.23/3.48  (step t881 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule implies :premises (t880))
% 3.23/3.48  (step t882 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule resolution :premises (t881 a2))
% 3.23/3.48  (step t883 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t884)
% 3.23/3.48  (assume t884.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t884.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (:= Y (tptp.meet tptp.z2 tptp.z3))))
% 3.23/3.48  (step t884.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule or :premises (t884.t1))
% 3.23/3.48  (step t884.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule resolution :premises (t884.t2 t884.a0))
% 3.23/3.48  (step t884 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule subproof :discharge (t884.a0))
% 3.23/3.48  (step t885 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule resolution :premises (t883 t884))
% 3.23/3.48  (step t886 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t887 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))) :rule resolution :premises (t885 t886))
% 3.23/3.48  (step t888 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))) :rule contraction :premises (t887))
% 3.23/3.48  (step t889 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule implies :premises (t888))
% 3.23/3.48  (step t890 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule resolution :premises (t889 a2))
% 3.23/3.48  (step t891 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t892)
% 3.23/3.48  (assume t892.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.23/3.48  (step t892.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule forall_inst :args ((:= X tptp.z2) (:= Y tptp.z3)))
% 3.23/3.48  (step t892.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule or :premises (t892.t1))
% 3.23/3.48  (step t892.t3 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule resolution :premises (t892.t2 t892.a0))
% 3.23/3.48  (step t892 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule subproof :discharge (t892.a0))
% 3.23/3.48  (step t893 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule resolution :premises (t891 t892))
% 3.23/3.48  (step t894 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (not (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule implies_neg2)
% 3.23/3.48  (step t895 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule resolution :premises (t893 t894))
% 3.23/3.48  (step t896 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule contraction :premises (t895))
% 3.23/3.48  (step t897 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule implies :premises (t896))
% 3.23/3.48  (step t898 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule resolution :premises (t897 a2))
% 3.23/3.48  (step t899 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule equiv_pos2)
% 3.23/3.48  (step t900 (cl (= (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule all_simplify)
% 3.23/3.48  (step t901 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))))) :rule cong :premises (t643 t900))
% 3.23/3.48  (step t902 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t903)
% 3.23/3.48  (assume t903.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t903.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.z1) (:= Z tptp.z2)))
% 3.23/3.48  (step t903.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule or :premises (t903.t1))
% 3.23/3.48  (step t903.t3 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule resolution :premises (t903.t2 t903.a0))
% 3.23/3.48  (step t903 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule subproof :discharge (t903.a0))
% 3.23/3.48  (step t904 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule resolution :premises (t902 t903))
% 3.23/3.48  (step t905 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (not (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule implies_neg2)
% 3.23/3.48  (step t906 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule resolution :premises (t904 t905))
% 3.23/3.48  (step t907 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule contraction :premises (t906))
% 3.23/3.48  (step t908 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule resolution :premises (t899 t901 t907))
% 3.23/3.48  (step t909 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) :rule implies :premises (t908))
% 3.23/3.48  (step t910 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) :rule resolution :premises (t909 a1))
% 3.23/3.48  (step t911 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))))) :rule equiv_pos2)
% 3.23/3.48  (step t912 (cl (= (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))))) :rule all_simplify)
% 3.23/3.48  (step t913 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))))) :rule cong :premises (t643 t912))
% 3.23/3.48  (step t914 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t915)
% 3.23/3.48  (assume t915.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t915.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.z1) (:= Z tptp.z3)))
% 3.23/3.48  (step t915.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule or :premises (t915.t1))
% 3.23/3.48  (step t915.t3 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule resolution :premises (t915.t2 t915.a0))
% 3.23/3.48  (step t915 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule subproof :discharge (t915.a0))
% 3.23/3.48  (step t916 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule resolution :premises (t914 t915))
% 3.23/3.48  (step t917 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (not (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule implies_neg2)
% 3.23/3.48  (step t918 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t916 t917))
% 3.23/3.48  (step t919 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule contraction :premises (t918))
% 3.23/3.48  (step t920 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))))) :rule resolution :premises (t911 t913 t919))
% 3.23/3.48  (step t921 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) :rule implies :premises (t920))
% 3.23/3.48  (step t922 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) :rule resolution :premises (t921 a1))
% 3.23/3.48  (step t923 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule equiv_pos2)
% 3.23/3.48  (step t924 (cl (= (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule all_simplify)
% 3.23/3.48  (step t925 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))))) :rule cong :premises (t643 t924))
% 3.23/3.48  (step t926 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t927)
% 3.23/3.48  (assume t927.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.23/3.48  (step t927.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.z1) (:= Z (tptp.join tptp.z2 tptp.z3))))
% 3.23/3.48  (step t927.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule or :premises (t927.t1))
% 3.23/3.48  (step t927.t3 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t927.t2 t927.a0))
% 3.23/3.48  (step t927 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule subproof :discharge (t927.a0))
% 3.23/3.48  (step t928 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t926 t927))
% 3.23/3.48  (step t929 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t930 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t928 t929))
% 3.23/3.48  (step t931 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule contraction :premises (t930))
% 3.23/3.48  (step t932 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t923 t925 t931))
% 3.23/3.48  (step t933 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t932))
% 3.23/3.48  (step t934 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t933 a1))
% 3.23/3.48  (step t935 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t936)
% 3.23/3.48  (assume t936.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t936.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.23/3.48  (step t936.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule or :premises (t936.t1))
% 3.23/3.48  (step t936.t3 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t936.t2 t936.a0))
% 3.23/3.48  (step t936 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule subproof :discharge (t936.a0))
% 3.23/3.48  (step t937 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t935 t936))
% 3.23/3.48  (step t938 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t939 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule resolution :premises (t937 t938))
% 3.23/3.48  (step t940 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule contraction :premises (t939))
% 3.23/3.48  (step t941 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule implies :premises (t940))
% 3.23/3.48  (step t942 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t941 a0))
% 3.23/3.48  (step t943 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t944)
% 3.23/3.48  (assume t944.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t944.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.join tptp.z2 tptp.z3))))
% 3.23/3.48  (step t944.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t944.t1))
% 3.23/3.48  (step t944.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t944.t2 t944.a0))
% 3.23/3.48  (step t944 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t944.a0))
% 3.23/3.48  (step t945 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t943 t944))
% 3.23/3.48  (step t946 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 3.23/3.48  (step t947 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t945 t946))
% 3.23/3.48  (step t948 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t947))
% 3.23/3.48  (step t949 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t948))
% 3.23/3.48  (step t950 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t949 a0))
% 3.23/3.48  (step t951 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t952)
% 3.23/3.48  (assume t952.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t952.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z2)))
% 3.23/3.48  (step t952.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t952.t1))
% 3.23/3.48  (step t952.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t952.t2 t952.a0))
% 3.23/3.48  (step t952 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t952.a0))
% 3.23/3.48  (step t953 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t951 t952))
% 3.23/3.48  (step t954 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 3.23/3.48  (step t955 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t953 t954))
% 3.23/3.48  (step t956 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t955))
% 3.23/3.48  (step t957 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t956))
% 3.23/3.48  (step t958 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t957 a0))
% 3.23/3.48  (step t959 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t960)
% 3.23/3.48  (assume t960.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.23/3.48  (step t960.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))) :rule forall_inst :args ((:= X tptp.z2) (:= Y tptp.z3)))
% 3.23/3.48  (step t960.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule or :premises (t960.t1))
% 3.23/3.48  (step t960.t3 (cl (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule resolution :premises (t960.t2 t960.a0))
% 3.23/3.48  (step t960 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule subproof :discharge (t960.a0))
% 3.23/3.48  (step t961 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule resolution :premises (t959 t960))
% 3.23/3.48  (step t962 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))) :rule implies_neg2)
% 3.23/3.48  (step t963 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))) :rule resolution :premises (t961 t962))
% 3.23/3.48  (step t964 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))) :rule contraction :premises (t963))
% 3.23/3.48  (step t965 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule implies :premises (t964))
% 3.23/3.48  (step t966 (cl (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule resolution :premises (t965 a0))
% 3.23/3.48  (step t967 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t968)
% 3.23/3.48  (assume t968.a0 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 3.23/3.48  (step t968.t1 (cl (or (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule forall_inst :args ((:= X1 tptp.z1) (:= Y1 tptp.z2) (:= W tptp.z3)))
% 3.23/3.48  (step t968.t2 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule or :premises (t968.t1))
% 3.23/3.48  (step t968.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t968.t2 t968.a0))
% 3.23/3.48  (step t968 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule subproof :discharge (t968.a0))
% 3.23/3.48  (step t969 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t967 t968))
% 3.23/3.48  (step t970 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies_neg2)
% 3.23/3.48  (step t971 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t969 t970))
% 3.23/3.48  (step t972 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule contraction :premises (t971))
% 3.23/3.48  (step t973 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule implies :premises (t972))
% 3.23/3.48  (step t974 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t973 a10))
% 3.23/3.48  (step t975 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t976)
% 3.23/3.48  (assume t976.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))))
% 3.23/3.48  (step t976.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z2) (:= Z tptp.z3)))
% 3.23/3.48  (step t976.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule or :premises (t976.t1))
% 3.23/3.48  (step t976.t3 (cl (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t976.t2 t976.a0))
% 3.23/3.48  (step t976 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule subproof :discharge (t976.a0))
% 3.23/3.48  (step t977 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t975 t976))
% 3.23/3.48  (step t978 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t979 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t977 t978))
% 3.23/3.48  (step t980 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule contraction :premises (t979))
% 3.23/3.48  (step t981 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule implies :premises (t980))
% 3.23/3.48  (step t982 (cl (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t981 a7))
% 3.23/3.48  (step t983 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 3.23/3.48  (anchor :step t984)
% 3.23/3.48  (assume t984.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.23/3.48  (step t984.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z2) (:= Z tptp.z3)))
% 3.23/3.48  (step t984.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule or :premises (t984.t1))
% 3.23/3.48  (step t984.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t984.t2 t984.a0))
% 3.23/3.48  (step t984 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule subproof :discharge (t984.a0))
% 3.23/3.48  (step t985 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t983 t984))
% 3.23/3.48  (step t986 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule implies_neg2)
% 3.23/3.48  (step t987 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t985 t986))
% 3.23/3.48  (step t988 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule contraction :premises (t987))
% 3.23/3.48  (step t989 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule implies :premises (t988))
% 3.23/3.48  (step t990 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t989 a6))
% 3.23/3.48  (step t991 (cl) :rule resolution :premises (t117 t125 t133 t144 t152 t160 t168 t176 t184 t192 t200 t208 t216 t229 t237 t245 t258 t266 t277 t285 t293 t301 t309 t317 t325 t333 t341 t349 t357 t365 t373 t381 t389 t397 t405 t413 t421 t429 t437 t445 t453 t461 t473 t481 t489 t497 t505 t513 t521 t529 t537 t545 t553 t561 t569 t577 t585 t593 t601 t609 t617 t625 t633 t641 t654 t666 t674 t682 t690 t698 t706 t714 t722 t730 t738 t746 t754 t762 t770 t778 t786 t794 t802 t810 t818 t826 t834 t842 t850 t858 t866 t874 t882 t890 t898 t910 t922 t934 t942 t950 t958 t966 t974 t982 t990 a11))
% 3.23/3.48  
% 3.23/3.48  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.NhWIrsOa5h/cvc5---1.0.5_2567.smt2
% 3.23/3.49  % cvc5---1.0.5 exiting
% 3.23/3.49  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------